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

Answer 1

Ethan Adkins

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=2x^2+4#

We now have #2x^2+4-x+x^2+7#.

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

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Answer 2

Avery Alexander

Combine like terms:

[2(x^2 + 2) - x + x^2 + 7 = 2x^2 + 4 - x + x^2 + 7]

Combine (x^2) terms and constants:

[2x^2 + x^2 - x + 4 + 7]

Combine like terms:

[3x^2 - x + 11]

The simplified expression is (3x^2 - x + 11).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.