-a^2b^2(5a^3b-3b^3)? explain please

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Guest Sep 4, 2016

Guest · Answer 1 · 2016-09-04T11:17:11

Simplify the following:
-a^2 b^2 (5 a^3 b-3 b^3)

Factor b out of 5 a^3 b-3 b^3:
-a^2 b^2 b (5 a^3-3 b^2)

-a^2 b^2 b (5 a^3-3 b^2) = -a^2 b^(2+1) (5 a^3-3 b^2):
-a^2 b^(2+1) (5 a^3-3 b^2)

2+1 = 3:
Answer: |-a^2 b^3 (5a^3 - 3b^2)

MaxWong · Answer 2 · 2016-09-05T01:25:07

\(-a^2b^2(5a^3b-3b^3)\\=-5a^5b^3+3a^2b^5\)

You just multiply all the terms in the bracket with the -a^2b^2 term.