Simplify the expression: 5(x² + x − 1) − (5x² − x + 2) =

Question

ScanSolve AI Tutor · Accepted Answer

Step 1: Distribute the 5 into the first parentheses. 5(x² + x − 1) = 5x² + 5x − 5 Step 2: Distribute the negative sign into the second parentheses. −(5x² − x + 2) = −5x² + x − 2 Step 3: Rewrite the expression by combining both parts. 5x² + 5x − 5 − 5x² + x − 2 Step 4: Combine like terms for x²: 5x² − 5x² = 0 Step 5: Combine like terms for x: 5x + x = 6x Step 6: Combine constant terms: −5 − 2 = −7 Step 7: Simplified expression: 6x − 7 C. 6x − 7 6x−7

Simplify the expression: 5(x² + x - 1) - (5x² - x + 2) =

Step-by-step solution

Distribute the 5 into the first parentheses.

Distribute the negative sign into the second parentheses.

Rewrite the expression by combining both parts.

Combine like terms for $x^2$

Combine like terms for $x$

Combine constant terms

Simplified expression

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