Question

1. Use the identity (x + a)(x + b) = x2

+ (a + b)x + ab to find the following products.

(i) (x + 3) (x + 7) (ii) (4x + 5)(4x + 1).​

Answer 1

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Identity:-

(x+a)(x+b) =x²+(a+b)x+ab

(i) (x+3)(x+7)

a=3 , b=7

= x²+(3+7)x+3×7

= x²+10x+21

(ii) (4x+5)(4x+1)

a= 5, b= 1

=4x²+(5+1)4x+(5×1)

= 4x²+(6)4x+5

=4x²+24x+5

Hope it helps you.....