Hi there!
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[tex](2a^2b+3ab^2-b^3)-(4b^3-3ab^2-6a^2b)[/tex]
Distribute the Negative Sign:
[tex]= 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[/tex]
Combine Like Terms:
[tex]= 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[/tex]
Answer : [tex]8a^2 b + 6ab^2 + -5b^3[/tex]
Hope this helped you!