Question

Multiply 2x-3y+5z by x+2y-z
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Answer 1

Answer:

$→ \bf {2x - 3y + 5z \times (x + 2y - z)} \\ \\→ \bf {2x(x + 2y - z) - 3y(x + 2y - z) + 5z(x + 2y - z)} \\ \\ →\bf{{2x}^{2} \underline{+ 4xy} \: \underline{ - 2xz} \: \underline {- 3xy }- 6 {y}^{2} \underline{+ 3zy } \: \underline{+ 5xz} \: \underline{+ 10zy }- 5 {z}^{2} } \\ \\ →\bf {{2x}^{2} - {6y}^{2} - {5z}^{2} + 4xy - 3xy - 2xz + 5xz + 3zy + 10zy }\\ \\ → { \boxed{ \red{\bf{{2x}^{2} - {6y}^{2} - {5z}^{2} + xy + 3xz + 13zy}}}}$

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hope it helps you ❣️

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Answer 2

Answer:

The question is to multiply $2x-3y+5z$ by $x+2y-z$

$(2x-3y+5z)(x+2y-z) = 2x(x+2y-z) - 3y(x+2y-z) + 5z(x+2y-z)$

       $= 2x(x) + 2x(2y) - 2x(-z) - 3y(x) -3y(2y) -3y(-z) +5z(x) +5z(2y) +5z(-z)$

                                         $= 2x^2 + 4xy - 2xz - 3xy - 6y^2 + 3yz + 5xz +10yz - 5z^2$

                                         $= 2x^2 - 6y^2 - 5z^2 + xy + 3xz + 13yz$

                      Hope it helps you^_^