Question

Bài 1: Phân tích đa thức

a, P=7x^3y+14x^2y^2+7xy^3

b, Q=3x(y-2x)-(x-2)(2x-y)

c, H= -5x^m y+15x6n y(m,n thuộc N,m>n)

help me!!!!!

Answer 1

a. \(P=7x^3y+14x^2y^2+7xy^3=7xy\left(x^2+2xy+y^2\right)=7xy\left(x+y\right)^2\)

Vậy \(P=7xy\left(x+y\right)^2\)

b. \(Q=3x\left(y-2x\right)-\left(x-2\right)\left(2x-y\right)=3x\left(y-2x\right)+\left(x-2\right)\left(y-2x\right)=\left(y-2x\right)\left(3x+x-2\right)=\left(4x-2\right)\left(y-2x\right)\)

Vậy \(Q=\left(4x-2\right)\left(y-2x\right)\)

c. \(H=-5x^my+15x^{6n}y=5y\left(-x^m+3x^{6n}\right)\)

Vậy \(H=5y\left(-x^m+3x^{6n}\right)\)