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

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Answer 1 · 2016-07-29T14:07:34

Use the distributive property, then combine like terms.

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

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

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

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

How do you simplify 2(x^2+2)-x+x^2+72(x2+2)−x+x2+72(x^2+2)-x+x^2+7?