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Simplify. (3x5+3x2−4x3+x−6)−(x3+4x4+2x2−10x) Enter your answer, in standard form, in the box.

User Ancurio
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2 Answers

3 votes
All so have to do is make sure to convert the negatives and positives of the second group of values since there is a subtraction symbol that you have to distribute to that section.

This would turn the expression into
3x^5 + 3x^2 - 4x^3 + x - 6 - x^3 - 4x^4 - 2x^2 + 10x

Then combine like terms and line all the values in order from greatest exponent value to least to get
3x^5 - 4x^4 - 5x^3 + x^2 +11x - 6

Hope this helped :)
User PlanetUnknown
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3 votes

The first step is to distribute the negative sign to the expression (x3+4x4+2x2-10x) and after distributing the negative sign, the expression will become (-x3-4x4-2x2+10x). Then combine this with the first given expression (3x5+3x2−4x3+x−6) and this will become 3x5+3x2−4x3+x−6-x3-4x4-2x2+10x. then you can simplify it into 3x5-4x4+5x3+x2+11x-6.

User Semih Arslanoglu
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6.2k points
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