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Mathematics

By how much does 3x3 - 5x2 + 2x - 3 exceed 2x3 - 3x2 + x + 1?

Algebraic Expressions

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Answer

"Exceed" is just another way of asking for the difference. Subtract the second expression from the first.

∴ Subtract 2x3 - 3x2 + x + 1 from 3x3 - 5x2 + 2x - 3

3x3−5x2+2x−3+2x3−3x2+x+1−2x3+−−x3−2x2+x−4\begin{array}{rcccccc} 3x^3 & - & 5x^2 & + & 2x & - & 3 \\ +2x^3 & - & 3x^2 & + & x & + & 1 \\ -\phantom{2x^3} & + & - & - \\ \hline x^3 & - & 2x^2 & + & x & - & 4 \\ \hline \end{array}

Hence, the answer is x3 - 2x2 + x - 4

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