Question

What is the completely factored form of 8x^2-50?

Answer 1

Answer:

A) 2(x+5)(x-5)

Step-by-step explanation:

Given expression is,

$8x^2-50$

Taking common from both terms ( converse of distributive property )

$=2(x^2-25)$

$=2(x^2-(5)^2)$

By using the identity  a²- b² = (a+b)(a-b)

$=2(x+5)(x-5)$

Since, further factorization is not possible,

Thus, the required factor form of the given expression is,

$2(x+5)(x-5)$

Option A is correct.

Answer 2

8x^2 - 50 = 
2(4x^2 - 25) =
2(2x + 5)(2x - 5) <==