Question

rút gọn 

Answer 1

f: \(\left(-x-2y\right)^3+x\left(2y-x\right)\left(2y+x\right)\)

\(=-x^3-6x^2y-12xy^2-8y^3+x\left(4y^2-x^2\right)\)

\(=-x^3-6x^2y-12xy^2-8y^3+4xy^2-x^3\)

\(=-2x^3-6x^2y-8xy^2-8y^3\)

g: \(-\left(2x-y\right)^3-x\left(2x-y\right)^2-y^3\)

\(=-\left(8x^3-12x^2y+6xy^2-y^3\right)-x\left(4x^2-4xy+y^2\right)-y^3\)

\(=-8x^3+12x^2y-6xy^2+y^3-4x^3+4x^2y-xy^2-y^3\)

\(=-12x^3+16x^2y-7xy^2\)

h: \(-x\left(x-y\right)^2+\left(x-y\right)^3+y^2\left(y-2x\right)\)

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

\(=-x^3+2x^2y-xy^2+x^3-3x^2y+xy^2\)

\(=-x^2y\)

Answer 2

f)=-2x³+6x²y-8xy²-8y³

g)=2x³+16x²y-7xy²

h)=-x²y

 

Answer 3

h)=-2x³+6x²y-8xy²-8y³

g)=2x³+16x²y-7xy²

h)=-x²y