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

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

ScanSolve AI Answer

Answer

6x-7

Step 1: Distribute the 5 into the first parentheses.
5(x2+x1)=5x2+5x55(x^2 + x - 1) = 5x^2 + 5x - 5

Step 2: Distribute the negative sign into the second parentheses.
(5x2x+2)=5x2+x2-(5x^2 - x + 2) = -5x^2 + x - 2

Step 3: Rewrite the expression by combining both parts.
5x2+5x55x2+x25x^2 + 5x - 5 - 5x^2 + x - 2

Step 4: Combine like terms for x2x^2:
5x25x2=05x^2 - 5x^2 = 0

Step 5: Combine like terms for xx:
5x+x=6x5x + x = 6x

Step 6: Combine constant terms:
52=7-5 - 2 = -7

Step 7: Simplified expression:
6x76x - 7

C. 6x76x - 7
6x-7

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Quick Answer

Distribute the 5 into the first parentheses. 5(x^2 + x - 1) = 5x^2 + 5x - 5 Step 2: Distribute the negative sign into the second parentheses.

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

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
Step 1: Distribute the 5 into the first parentheses. 5(x^2 + x - 1) = 5x^2 + 5x - 5 Step 2: Distribute the negative sign into the second parentheses. -(5x^2 - x + 2) = -5x^2 + x - 2 Step 3: Rewrite the expression by combining both parts. 5x^2 + 5x - 5 - 5x^2 + x - 2 Step 4: Combine like terms for x^2: 5x^2 - 5x^2 = 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