Question

Which expression is equivalent to 2x2 - 2x + 7?

Answer 1

It basically (B) since it’s substituting x=0

Answer 2

Answer:

B) $(x^2 - 5x + 13) +(x^2 + 3x - 6)$

Step-by-step explanation:

Let's simplify the given options and find the correct answer.

The given expression is $2x^2 - 2x + 7$

Let's take the option A and simplify.

$-(4x + 12) + (2x^2 - 6x + 5)$

Distributing the negative sign and simplify.

$-4x - 12 + 2x^2 -6x + 5$

Simplify the like terms.

$2x^2 -10x - 7$

Which is not equal to the given expression.

Let's take the option B and simplify.

$(x^2 - 5x + 13) +(x^2 + 3x - 6)$

Simplify the like terms, we get

$x^2 + x^2 -5x +3x +13 -6$

$2x^2 -2x +7$

Which is equal to the given expression $2x^2 -2x +7$

Therefore, the answer is B) $(x^2 - 5x + 13) +(x^2 + 3x - 6)$