Questions: Perform the indicated operation by removing the parentheses and combining like terms. (7x^2+5x+1)-(x^2+7x)

Perform the indicated operation by removing the parentheses and combining like terms.
(7x^2+5x+1)-(x^2+7x)

Transcript text: Question 12 of 15, Step 1 of 1 11/15 Correct Perform the indicated operation by removing the parentheses and combining like terms. \[ \left(7 x^{2}+5 x+1\right)-\left(x^{2}+7 x\right) \] $\square$

Solution

Solution Steps

Step 1: Distribute the negative sign

Distribute the negative sign to the terms inside the second parentheses:

(7x² + 5x + 1) - (x² + 7x) = 7x² + 5x + 1 - x² - 7x

Step 2: Combine like terms

Combine the x² terms: 7x² - x² = 6x²

Combine the x terms: 5x - 7x = -2x

The constant term is 1.

Final Answer:

6x² - 2x + 1

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