Question

factorize 4(x+y)^2-x^2

Answer 1

Answer: 4(x+y)^2-x^2

= 4(x+y+x)(x+y-x)

By using identity,(x^2-y^2)=(x+y)(x-y)

= 4(2x+y)(y)

Answer 2

Answer:

4(x+y)^2-x^2 = (3x+2y)(x+2y)

Step-by-step explanation:

Factorize  4(x+y)^2-x^2

• use of this formula: a^2-b^2= (a+b)(a-b)

4(x+y)^2-x^2=

(2(x+y)+x)(2(x+y)-x)=

(3x+2y)(x+2y)