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

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

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)}`