Question

factorize by using identity (A) 4a^2 - 25b^2 (b ) x^2+8x+16

Answer 1

1) 4a^2 - 25b^2
= (2a)^2 - (5b)^2
= (2a +5b) (2a-5b)
By using: a^2 -b^2 = (a+b) (a-b)

2) x^2 +8x +16
= x^2 + 2× x×4 + 4^2
= (x+4)^2
By using: a^2 + 2ab + b^2= (a+b)^2
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Answer 2

Heya user

Here's your answer:-

(A) 4a^2-25b^2

⇒(2a)²-(5b)²

⇒(2a+5b) (2a-5b) (∵a²-b²=(a+b) (a-b)

(B) x²+8x+16

⇒x²+2×4+1+4²

⇒(x+4)² (∵ a²+2ab+b²)

Have a great day ahead ^_^