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QUESTION IMAGE

question perform the operation. (3x² - 3x + 9)+(-5x² - 8x - 7)

Question

question
perform the operation.
(3x² - 3x + 9)+(-5x² - 8x - 7)

Explanation:

Step1: Remove parentheses

Since there is a plus - sign before each parentheses, the terms inside remain the same: $3x^{2}-3x + 9-5x^{2}-8x - 7$

Step2: Combine like - terms of $x^{2}$

Combine the $x^{2}$ terms: $3x^{2}-5x^{2}=(3 - 5)x^{2}=-2x^{2}$

Step3: Combine like - terms of $x$

Combine the $x$ terms: $-3x-8x=(-3 - 8)x=-11x$

Step4: Combine constant terms

Combine the constant terms: $9-7 = 2$

Step5: Write the final polynomial

The result is $-2x^{2}-11x + 2$

Answer:

$-2x^{2}-11x + 2$