Question

fill in the blank 20 points add write your answers in standard form. 12. $(3x^2 + x + 5) + (2x^2 + x - 5)$ answer choose your answer.. answer 15. $(-x^2 + 5x + 2) + (-3x^2 + x - 9)$ answer choose your answer.. answer choose your answer_

Explanation:

Step1: Remove parentheses

$(3x^2 + x + 5) + (2x^2 + x - 5) = 3x^2 + x + 5 + 2x^2 + x - 5$

Step2: Combine like $x^2$ terms

$3x^2 + 2x^2 + x + x + 5 - 5 = 5x^2 + x + x + 5 - 5$

Step3: Combine like $x$ terms

$5x^2 + (1+1)x + 5 - 5 = 5x^2 + 2x + 5 - 5$

Step4: Combine constant terms

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

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Step1: Remove parentheses

$(-x^2 + 5x + 2) + (-3x^2 + x - 9) = -x^2 + 5x + 2 - 3x^2 + x - 9$

Step2: Combine like $x^2$ terms

$-x^2 - 3x^2 + 5x + x + 2 - 9 = -4x^2 + 5x + x + 2 - 9$

Step3: Combine like $x$ terms

$-4x^2 + (5+1)x + 2 - 9 = -4x^2 + 6x + 2 - 9$

Step4: Combine constant terms

$-4x^2 + 6x + (2-9) = -4x^2 + 6x - 7$

Answer:

1. $\boldsymbol{5x^2 + 2x}$
2. $\boldsymbol{-4x^2 + 6x - 7}$