Question

Not sure how to do this

Answer 1

it should be this answer i got it off the internet it should be right

Answer 2

Answer:

$\underline{\boxed{\sf{2(x - 11)(x + 11)}}}$

Step-by-step explanation:

$\sf{2x^2 - 242}$

Common factor :

$\sf{2x^2 - 242}$

$\sf{2(x^2 - 121)}$

$\: \: \: \: \: \: \: \: \: \: \: \:$

Use the sum-product pattern :

$\sf{2(x^2-121)}$

$\sf{2(x^2 + 11x-11x - 121)}$

$\: \: \: \: \: \: \: \: \: \: \: \:$

Common factor from the two pairs :

$\sf{2(x^2 + 11x-11x - 121)}$

$\sf{2(x(x+11) -11(x + 11))}$

$\: \: \: \: \: \: \: \: \: \: \: \:$

Rewrite in factored form :

$\sf{2(x(x+11)- 11(x + 11))}$

$\sf{2(x - 11)(x + 11)}$

$\: \: \: \: \: \: \: \: \: \: \: \:$

Solution :

$\sf{2(x - 11)(x + 11)}$