Question

Multiply (3a³-6b³) (4a² + 5b²)

Answer 1

`12a^5+15a^3b^2-24b^3a^2-30b^5`

Explanation:

(3a³-6b³) (4a² + 5b²) -> Simplify not Multiply

Expand (3a³-6b³) (4a² + 5b²) using the FOIL Method.

Apply the distributive property.

`3a^3(4a^2+5b^2)-6b^3(4a^2+5b^2)`

`3a^3(4a^2)+3a^3(5b^2)-6b^3(4a^2+5b^2)`

`3a^3(4a^2)+3a^3(5b^2)-6b^3(4a^2)-6b^3(5b^2)`

Simplify each term.

Rewrite using the commutative property of multiplication.

`3*4a^3a^2+3a^3(5b^2)-6b^3(4a^2)-6b^3(5b^2)`

↓

`12a^5+15a^3b^2-24b^3a^2-30b^5`

Equation Simplified.

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Hope this helped!