Question

Simplify: 3x(3y - x) + 2x(2y + x) + x(y – x).​

Answer 1

Answer:

$3x(3y - x) + 2x(2y + x) + x(y - x) \\ \\ = 9xy - 3 {x}^{2} + 4xy + 2 {x}^{2} + xy - {x}^{2} \\ \\ = - 3 {x}^{2} + 2 {x}^{2} - {x}^{2} + 9xy + 4xy + xy \\ \\ = - {x}^{2} - {x}^{2} + 13xy + xy \\ \\ = - 2 {x}^{2} + 14xy \\ \\ = - 2x(x - 7y) \\ \\ = x - 7y$

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Answer 2

Here's your answer..

3x(3y - x) + 2x(2y + x) + x(y – x)

=(9xy-3x²) + (4xy+2x²)+ (xy-x²)

=(-3x²+2x²-x²) + (9xy+4xy+xy)

=-2x²+14xy

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