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tresset_1 [31]
2 years ago
14

Multiply (3a³-6b³) (4a² + 5b²)

Mathematics
1 answer:
GREYUIT [131]2 years ago
3 0

Answer:

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

Step-by-step explanation:

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

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

Apply the <u>distributive property</u>.

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)

<h3><u /></h3>

<u>Simplify each term.</u>

Rewrite using the <u>commutative property of multiplication</u>.

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

<em />

<em>Equation Simplified.</em>

<em>---------------------------------------------------------------------------------------</em>

Hope this helped!

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