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3. Subtract the polynomials.
(-3x + 3x3 - 2x2 + 2) - (8 - 4x + 3x2)

User Fdreger
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1 Answer

5 votes

Let's simplify step-by-step.

−3x+3x3−2x2+2−(8−4x+3x2)

Distribute the Negative Sign:

=−3x+3x3−2x2+2+−1(8−4x+3x2)

=−3x+3x3+−2x2+2+(−1)(8)+−1(−4x)+−1(3x2)

=−3x+3x3+−2x2+2+−8+4x+−3x2

Combine Like Terms:

=−3x+3x3+−2x2+2+−8+4x+−3x2

=(3x3)+(−2x2+−3x2)+(−3x+4x)+(2+−8)

=3x3+−5x2+x+−6

Answer:

=3x3−5x2+x−6

User Shane
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