QuestionJuly 14, 2025

Simplify this following expression: (-6x^2-x+1)+(8x^3-4x+4)-(2x^3+6x^2-7) Simplify expression. square If answer is 10y^3-4y^2-2y then submit answer like this: 10y^wedge 3-4y^wedge 2-2y

Simplify this following expression: (-6x^2-x+1)+(8x^3-4x+4)-(2x^3+6x^2-7) Simplify expression. square If answer is 10y^3-4y^2-2y then submit answer like this: 10y^wedge 3-4y^wedge 2-2y
Simplify this following expression:
(-6x^2-x+1)+(8x^3-4x+4)-(2x^3+6x^2-7)
Simplify expression.
square 
If answer is 10y^3-4y^2-2y then submit answer like this: 10y^wedge 3-4y^wedge 2-2y

Solution
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Answer

6x^{\wedge }3-12x^{\wedge }2-5x+12 Explanation 1. Distribute the negative sign Apply the negative sign to the terms inside the parentheses of the third expression: -(2x^{3}+6x^{2}-7) becomes -2x^{3}-6x^{2}+7. 2. Combine like terms Add the coefficients of like terms: - For x^3: 8x^3 - 2x^3 = 6x^3 - For x^2: -6x^2 - 6x^2 = -12x^2 - For x: -x - 4x = -5x - Constant terms: 1 + 4 + 7 = 12

Explanation

1. Distribute the negative sign<br /> Apply the negative sign to the terms inside the parentheses of the third expression: $-(2x^{3}+6x^{2}-7)$ becomes $-2x^{3}-6x^{2}+7$.<br />2. Combine like terms<br /> Add the coefficients of like terms: <br />- For $x^3$: $8x^3 - 2x^3 = 6x^3$<br />- For $x^2$: $-6x^2 - 6x^2 = -12x^2$<br />- For $x$: $-x - 4x = -5x$<br />- Constant terms: $1 + 4 + 7 = 12$
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