Question

c) 10x^2(x-y)+15x^3(y-x)

d)5x(2x-3y)-15(3y-2x)

Answer 1

\(c,=\left(x-y\right)\left(10x^2-15x^3\right)=5x^2\left(2-3x\right)\left(x-y\right)\\ d,=\left(2x-3y\right)\left(5x+15\right)=5\left(x+3\right)\left(2x-3y\right)\)

Answer 2

c: \(10x^2\left(x-y\right)+15x^3\left(y-x\right)\)

\(=10x^2\left(x-y\right)-15x^3\left(x-y\right)\)

\(=5x^2\left(x-y\right)\left(2-3x\right)\)

d: \(5x\left(2x-3y\right)-15\left(3y-2x\right)\)

\(=5x\left(2x-3y\right)+15\left(2x-3y\right)\)

\(=5\left(2x-3y\right)\left(x+3\right)\)