Question

Q1. Use a suitable identity to get each of the following products.
a) (p - 11) (p + 11)
b) 2(a - 9) 2
C) (x - 5) (x - 1)
(d) (3z + 9 ) 2
(e) (5x +3) (5x -2)

Q2. Simplify the following
(i) (x 2 - y 2 ) 2 + 4x 2 y 2

(ii) (p + q) 2 - (p - q) 2 + p 2 q 2

Q3. Using identities, evaluate.
a) 91²

b) 89²

c) 103 x 98

(d) 51 2 - 49 2
d) 729 2 - 271 2

Answer 1

Answer:

Q1.

a) identity to be used- (a+b)(a-b)

b)4(a-9)

c) identity to be used- (x+a)(x+b) but, [x+(-5)][x+(-1)]

d)2(3z+9)

e) identity to be used- (x+a)(x+b) but, (5x+3)[5x+(-2)]

Q2. Question is not written correctly.

Q3.

a) identity to be used- (a-b)² but, (91)²= (100-9)²

b) identity to be used- (a-b)² but, (89)²=(90-9)²

c) identity to be used-