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Simplify (3a4 – 2a2 + 5a – 10) – (2a4 + 4a2 + 5a – 2).

2 Answers

5 votes

Let's simplify step-by-step.

3a4−2a2+5a−10−(2a4+4a2+5a−2)

Distribute the Negative Sign:

=3a4−2a2+5a−10+−1(2a4+4a2+5a−2)

=3a4+−2a2+5a+−10+−1(2a4)+−1(4a2)+−1(5a)+(−1)(−2)

=3a4+−2a2+5a+−10+−2a4+−4a2+−5a+2

Combine Like Terms:

=3a4+−2a2+5a+−10+−2a4+−4a2+−5a+2

=(3a4+−2a4)+(−2a2+−4a2)+(5a+−5a)+(−10+2)

=a4+−6a2+−8

Answer:

=a4−6a2−8

User Emu
by
7.9k points
3 votes
3a⁴-2a²+5a-10-2a⁴-4a²-5a-2
=3a⁴-2a⁴-2a²-4a²+5a-5a-10+2
=a⁴-6a²-8
User Connorbode
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8.0k points