Question

(2a^2b + 3ab^2 - b^3) - (4b^3 - 3ab^2 -6a^2b)

Answer 1

Hi there!

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$(2a^2b+3ab^2-b^3)-(4b^3-3ab^2-6a^2b)$

Distribute the Negative Sign:

$= 2a^2 b + 3ab^2 - b^3 + -1(4b^3 - 3ab^2 - 6a^2b)\\= 2a^2 b + 3ab^2 + - b^3 + -1 (4b^3) + -1 (-3ab^2) + -1 (-6a^2b)\\= 2a^2 b + 3ab^2 + -b^3 + -4b^3 + 3ab^2 + 6a^2 b$

Combine Like Terms:

$= 2a^2 b + 3ab^2 - b^3 + -4ab^3 + 3ab^2 + 6a^2 b\\= (2a^2 b + 6a^2 b) + ( 3ab^2 + 3ab^2) + (-b^3 + -4b^3) \\= 8a^2 b + 6ab^2 + -5b^3$

Answer : $8a^2 b + 6ab^2 + -5b^3$

Hope this helped you!