Question

Phân tích đa thức thành nhân tử

a) 4x²-81

b)3(x-y)+5x(y-x)

c) x(x+y)+6x+6y

d) 20x-5y

e)4x²y-8xy²+10x²y²

g) 4xy+8xyz

Answer 1

a) \(4x^2-81=\left(2x\right)^2-9^2=\left(2x-9\right)\left(2x+9\right)\)

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

c) \(x\left(x+y\right)+6x+6y=x\left(x+y\right)+6\left(x+y\right)=\left(x+y\right)\left(x+6\right)\)

d) \(20x-5y=5\left(4x-y\right)\)

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

g) \(4xy+8xyz=4xy\left(1+2z\right)\)