Question

Please solve (a^3 - 2a^2) - (3a^2 - 4a^3).

Answer 1

Hi there! Hopefully this helps!

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Answer: $5a^{3} - 5a^{2}$.

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|$(a^{3} - 2a^{2}) - (3a^{2} - 4a^{3} )$

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| To find the opposite of $3a^{2} -4a^{3}$, find the opposite of each term.

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$a^{3} - 2a^{2} - 3a^{2} + 4a^{3}$

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|Combine $-2a^{2}$ and $-3a^{2}$ to get $-5a^{2}$.

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$a^{3} - 5a^{2} + 4a^{3}$

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|Combine $a^{3}$ and $4a^{3}$ to get $5a^{3}$.

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Answer: $5a^{3} - 5a^{2}$