Question

分解因式计算:x^2(x-y)+(y-x)=?x^3+x^2+1\4x=?(2x+y)^2-(x-2y)^2=?

Answer 1

(1)=(x-y)(x+1)(x-1)

(2)=x(x^2+x+1/4x)=x(x+1/2)^2

(3)=4x^2+4xy+y^2-x^2+4xy-4y^2

=3x^2+8xy-3y^2=(3x-y)(x+3y)