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8. Simplify: (-5x^2+x^3-2x+3)-(-5x^2-x^3+3x+1) A. 2x+4 B 2x^3-6x-5 C 2x^3-5x+2 D 2x^3-10x^2+5x+4

Question

8. Simplify: (-5x^2+x^3-2x+3)-(-5x^2-x^3+3x+1) A. 2x+4 B 2x^3-6x-5 C 2x^3-5x+2 D 2x^3-10x^2+5x+4

Answer

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Yancy Master · Tutor for 5 years

Answer

To simplify the expression, we distribute the negative sign to the terms inside the second set of parentheses and then combine like terms:\(\left(-5 x^{2}+x^{3}-2 x+3\right)-\left(-5 x^{2}-x^{3}+3 x+1\right)\)Becomes: Combine like terms:\((x^{3}+x^{3})+(-5 x^{2}+5 x^{2})+(-2 x-3 x)+(3-1)\) The simplified expression is: The correct answer is C.