Question

Factorize 64(x+y)^2-49(x-y)^2​

Answer 1

Given:

• 64(x+y)²-49(x-y)²

To Find:

• The factorised form.

Answer:

We would factorise it by using the formula

• (a+b)(a-b)=a²-b².

= 64(x+y)² -49(x-y)²

= (8)²(x+y)²-(7)²(x-y)²

= [8(x+y)]²-[7(x-y)]²

= [8(x+y)+7(x-y)][8(x+y)-7(x-y)]

= [ 8x+8y+7x-7y][8x+8y-7x+7y]

=(15x+y)(x+15y)

Answer 2

Answer:

(x+15y)(15x+y) ANS

Step-by-step explanation:

64(x+y)^2-49(x-y)^2​

(8(x+y))^2-(7(x-y))^2

(8(x+y)-7(x-y)) (8(x+y)+7(x-y))

(8x+8y-7x+7y)(8x+8y+7x-7y)

(x+15y)(15x+y) ANS