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Add. (−4x4+5x3−x2+1)+(2x4−7x3+6x2+2x)

2 Answers

3 votes

Answer:

=−2x4−2x3+5x2+2x+1

Explanation:

Combine Like Terms:

=−4x4+5x3+−x2+1+2x4+−7x3+6x2+2x

=(−4x4+2x4)+(5x3+−7x3)+(−x2+6x2)+(2x)+(1)

=−2x4+−2x3+5x2+2x+1

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User Frenchcooc
by
7.9k points
5 votes

How to get answer by Mimiwhatsup:


\left(-4x^4+5x^3-x^2+1\right)+\left(2x^4-7x^3+6x^2+2x\right)\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=-4x^4+5x^3-x^2+1+2x^4-7x^3+6x^2+2x\\\mathrm{Group\:like\:terms}\\=-4x^4+2x^4+5x^3-7x^3-x^2+6x^2+2x+1\\\mathrm{Add\:similar\:elements:}\:-x^2+6x^2=5x^2\\=-4x^4+2x^4+5x^3-7x^3+5x^2+2x+1\\\mathrm{Add\:similar\:elements:}\:5x^3-7x^3=-2x^3\\=-4x^4+2x^4-2x^3+5x^2+2x+1\\\mathrm{Add\:similar\:elements:}\:-4x^4+2x^4=-2x^4\\Answer: -2x^4-2x^3+5x^2+2x+1

User Victor Luna
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8.1k points