Question

2x power 2 +ax - a power 2

Answer 1

Answer:

$2x^2 +ax-a^2=(2x-a)(x+a)$

Step-by-step explanation:

$\text{factorize: 2x^2 +ax-a^2 }$

The factorization has been done by splitting the middle term

Now,

$2x^2 +ax-a^2$

$=2x^2 +2ax-ax-a^2$

$=2x(x +a)-a(x+a)$

$=(2x-a)(x+a)$

$\implies\:\:\boxed{2x^2 +ax-a^2=(2x-a)(x+a)}$