Question

9 Phân tích đa thức sau thành nhân tử:

a) 9xy^2-18x^2y ; b) 6x^2-2y ; c)7x(x-y)-14y(y-x)

d)7-x^2 ; e) 16+8x+x^2 ; f)1-27x^3

g) x^3-9x^2+27x-27 ; h) (x+2y)^2-16y^2 ; i) x^3-64y^3

Answer 1

a: \(=9xy\left(y-2x\right)\)

b: \(=2\left(3x^2-y\right)\)

c: \(=7x\left(x-y\right)+14y\left(x-y\right)=7\left(x-y\right)\left(x+2y\right)\)

d: \(=\left(\sqrt{7}-x\right)\left(\sqrt{7}+x\right)\)

e: \(=\left(x+4\right)^2\)

f: \(=\left(1-3x\right)\left(1+3x+9x^2\right)\)

g: \(=\left(x-3\right)^3\)