Question

10x•(x-y)-8y•(y-x)

Answer 1

`10x(x-y) - 8y(y-x)`

`= 10x(x-y) + 8y(x-y)`

`= (10x+8y)(x-y)`

`= 2(5x+4y)(x-y)`

Answer 2

\(10x\left(x-y\right)-8y\left(y-x\right)\)

\(=10x\cdot\left(x-y\right)-8y\cdot-\left(x-y\right)\)

\(=10x\left(x-y\right)+8y\left(x-y\right)\)

\(=\left(10x+8y\right)\left(x-y\right)\)

\(=\left(2\cdot5x+2\cdot4y\right)\left(x-y\right)\)

\(=2\left(5x+4y\right)\left(x-y\right)\)