How do you simplify 2(x^2+2)-x+x^2+7?

1 Answer
Jul 29, 2016

Use the distributive property, then combine like terms.

Explanation:

The distributive property states that a(b+c)=a⋅b+a⋅c. Let's use this to solve for $2 \left({x}^{2} + 2\right)$:

$2 \left({x}^{2} + 2\right) = 2 \cdot {x}^{2} + 2 \cdot 2 = 2 {x}^{2} + 4$

We now have $2 {x}^{2} + 4 - x + {x}^{2} + 7$.

Next, just combine like terms to get our answer, $3 {x}^{2} - x + 11$.