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Mathematics

How much is -x2 + 7y2 - 3xy less than 2x2 - y2 + xy?

Algebraic Expressions

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Answer

Here, "how much is A less than B," means B is the larger value. Therefore, we subtract A from B (B - A).

∴ Subtract -x2 + 7y2 - 3xy from 2x2 - y2 + xy

2x2−y2+xy−x2+7y2−3xy+x2−+3x2−8y2+4xy\begin{array}{rcc} 2x^2 & - & y^2 & + & xy \\ -x^2 & + & 7y^2 & - & 3xy \\ +\phantom{x^2} & - & & + \\ \hline 3x^2 & - & 8y^2 & + & 4xy \\ \hline \end{array}

Hence, the answer is 3x2 - 8y2 + 4xy

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