Hi there! Hopefully this helps!
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Answer: [tex]5a^{3} - 5a^{2}[/tex].
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|[tex](a^{3} - 2a^{2}) - (3a^{2} - 4a^{3} )[/tex]
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| To find the opposite of [tex]3a^{2} -4a^{3}[/tex], find the opposite of each term.
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[tex]a^{3} - 2a^{2} - 3a^{2} + 4a^{3}[/tex]
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|Combine [tex]-2a^{2}[/tex] and [tex]-3a^{2}[/tex] to get [tex]-5a^{2}[/tex].
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[tex]a^{3} - 5a^{2} + 4a^{3}[/tex]
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|Combine [tex]a^{3}[/tex] and [tex]4a^{3}[/tex] to get [tex]5a^{3}[/tex].
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Answer: [tex]5a^{3} - 5a^{2}[/tex]
