Sunday, March 22, 2020

FRANK Solutions for Class 9 Maths Chapter 4 - Expansions


FRANK Solutions for Class 9 Maths Chapter 4 - Expansions

Chapter 4 - Expansions Exercise Ex. 4.1

Question 1
Expand the following:
(i) (a + 4) (a + 7)
(ii) (m + 8) (m - 7)
(iii) (x - 5) (x - 4)
(iv) (3x + 4) (2x - 1)
(v) (2x - 5) (2x + 5) (2x- 3)
Solution 1
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
        (V)
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 2
Expand the following:
a. (a + 3b)2
b. (2p - 3q)2
c. Frank Solutions Icse Class 9 Mathematics Chapter - Expansions 
d. (x - 3y - 2z)2
Solution 2
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 3
Find the squares of the following:
a. 9m - 2n
b. 3p -4q2
c. Frank Solutions Icse Class 9 Mathematics Chapter - Expansions 
d. (2a + 3b - 4c)
Solution 3
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 4
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Solution 4
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 5
Evaluate the following without multiplying:
a. (95)2
b. (103)2
c. (999)2
d. (1005)2
Solution 5
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 6
Evaluate, using (a + b)(a - b)= a2 - b2.
a. 399 x 401
b. 999 x 1001
c. 409 x 5.1
d. 15.9 x 16.1
Solution 6
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 7
If a - b = 10 and ab = 11; find a + b.
Solution 7
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 8
If x + y = 9, xy = 20;
find: (i) x - y,
(ii) x2 - y2.
Solution 8
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 9
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Solution 9
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 10
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Solution 10
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 11
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Solution 11
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 12
If p + q = 8 and p - q = 4, find:
(i) pq,
(ii) p2 + q2
Solution 12
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 13
If m - n = 0.9 and mn = 0.36, find:
a. m + n,
b. m2 - n2.
Solution 13
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 14
If x + y = 1 and xy = -12; find
(i) x - y,
(ii) x2 - y2.
Solution 14
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 15
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Solution 15
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 16
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Solution 16
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 17
If 2x + 3y = 10 and xy = 5; find the value of 4x2 + 9y2
Solution 17
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 18
If x + y + z = 12 and xy + yz + zx = 27; find x2 + y2 + z2.
Solution 18
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 19
If a2 + b2 + c2 = 41 and a + b + c = 9; find ab + bc + ca.
Solution 19
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 20
If p2 + q2 + r2 = 82 and pq + qr + pr = 18; find p + q + r.
Solution 20
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 21
If x + y + z = p and xy + yz + zx = q; find x2 + y2 + z2.
Solution 21
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions

Chapter 4 - Expansions Exercise Ex. 4.2

Question 1
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
    (v) Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Solution 1
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
  (v)
  Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 2
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Solution 2
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 3
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Solution 3
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 4
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Solution 4
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 5
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Solution 5
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 6
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions 
Solution 6
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 7
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions 
Solution 7
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 8
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Solution 8
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 9
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Solution 9
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 10
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Solution 10
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 11
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Solution 11
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 12
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Solution 12
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 13
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Solution 13
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 14
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Solution 14
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 15
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Solution 15
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 16
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Solution 16
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 17
If a + b + c = 0; then show that a3 + b3 + c3 = 3abc.
Solution 17
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 18
If a + 2b + c = 0; then show that a3 + 8b3 + c3 = 6abc
Solution 18
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 19
If x3 + y3 = 9 and x + y = 3, find xy.
Solution 19
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 20
If a + b = 5 and ab = 2, find a3 + b3.
Solution 20
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 21
If p - q = -1 and pq = -12, find p3 - q3
Solution 21
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 22
If m - n = -2 and m3 - n3 = -26, find mn.
Solution 22
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 23
If 2a - 3b = 10 and ab = 16; find the value of 8a3 - 27b3.
Solution 23
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 24
If x + 2y = 5, then show that x3 + 8y3 + 30xy = 125.
Solution 24
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 25
Simplify:
(4x + 5y)2 + (4x - 5y)2
Solution 25
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 26
Simplify:
(7a +5b)2 - (7a - 5b)2
Solution 26
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 27
Simplify:
(a + b)3 + (a - b)3
Solution 27
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 28
Simplify:
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions 
Solution 28
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 29
Simplify:
(x + y - z)2 + (x - y + z)2
Solution 29
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 30
Simplify:
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions 
Solution 30
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 31
Simplify:
(2x + y)(4x2 - 2xy + y2)
Solution 31
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 32
Simplify:
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions 
Solution 32
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 33
Simplify:
(x + 2y + 3z)(x2 + 4y2 + 9z2 - 2xy - 6yz - 3zx)
Solution 33
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 34
Simplify:
(1 + x)(1 - x)(1 - x + x2)(1 + x + x2)
Solution 34
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 35
Simplify:
(3a + 2b - c)(9a2 + 4b2 + c2 - 6ab + 2bc +3ca)
Solution 35
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 36
Simplify:
(3x + 5y + 2z)(3x - 5y + 2z)
Solution 36
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 37
Simplify:
(2x - 4y + 7)(2x + 4y + 7)
Solution 37
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 38
Simplify:
(3a - 7b + 3)(3a - 7b + 5)
Solution 38
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 39
Simplify:
(4m - 5n - 8)(4m - 5n + 5)
Solution 39
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Question 40
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Solution 40
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions
Frank Solutions Icse Class 9 Mathematics Chapter - Expansions

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