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question perform the operation. (-8x^{2}+3)+(x^{2}+3x - 8) answer

Question

question
perform the operation.
(-8x^{2}+3)+(x^{2}+3x - 8)
answer

Explanation:

Step1: Remove parentheses

$(-8x^2 + 3) + (x^2 + 3x - 8) = -8x^2 + 3 + x^2 + 3x - 8$

Step2: Combine like $x^2$ terms

$-8x^2 + x^2 = (-8+1)x^2 = -7x^2$

Step3: Combine constant terms

$3 - 8 = -5$

Step4: Assemble simplified expression

$-7x^2 + 3x - 5$

Answer:

$-7x^2 + 3x - 5$