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30 votes
PLEEEEEAAAASEEE HELPPPPPP

simplify the polynomial
3a(6a^2-4ab^2)+8a^2b^2-2b^3

User Dario Brux
by
2.5k points

2 Answers

19 votes
19 votes

Answer:

Simplified: -4a²b²+18a³-2b³

3a(6a²-4ab²)+8a²b²-2b³

Multiply 3a by 6a² and-4ab²

18a³-12a²b²+8a²b²-2b³

combine like terms (-12a²b² and 8a²b²)

-4a²b²+18a³-2b³

Hope this helps

User Aurelia
by
2.6k points
21 votes
21 votes

Explanation:

Here we have to simplify the polynomial :


\\ \longrightarrow \sf \qquad3a(6a^2-4ab^2)+8a^2b^2-2b^3\\ \\

Using Distributive property we get :


\longrightarrow \sf \qquad18a^3- {12}^(2) b^2+8a^2b^2-2b^3\\ \\

Combining the like terms we get :


\longrightarrow \sf \qquad18a^3-4a^2b^2-2b^3\\ \\

Therefore,

  • The Simplified expression is
    \sf 18^3-4a^2b^2-2b^3

User Comonad
by
3.1k points