Question

giúp e ạ hyhy

Answer 1

a: \(x^2-4xy+4y^2+x-2y\)

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

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

\(=\left(x-2y\right)\left(x-2y+1\right)\)

b: \(6y-y^2-9+9x^2\)

\(=9x^2-\left(y^2-6y+9\right)\)

\(=9x^2-\left(y-3\right)^2\)

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

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

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

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

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

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

\(=\left(x^2+2x\right)^2+8\left(x^2+2x\right)+15-15\)

\(=\left(x^2+2x\right)^2+8\left(x^2+2x\right)\)

\(=\left(x^2+2x\right)\left(x^2+2x+8\right)=x\left(x+2\right)\left(x^2+2x+8\right)\)