因式分解:(1)3ax^2-3ay^.(2)(2X一3y)^一(3x一2y)^.(3)x^(y^一1)+(1一y^).(4)(X^一6)^一6(X^一6)+9..
问题描述:
因式分解:(1)3ax^2-3ay^.(2)(2X一3y)^一(3x一2y)^.(3)x^(y^一1)+(1一y^).(4)(X^一6)^一6(X^一6)+9..
答
(1)3ax²-3ay²=3a(x²-y²)=3a(x+y)(x-y)(2)(2X一3y)²一(3x一2y)²=[(2x-3y)+(3x-2y)][(2x-3y-(3x-2y)]=(2x-3y+3x-2y)(2x-3y-3x+2y)=(5x-5y)(-x-y)=-5(x-y)(x+y)(3)x²(y²一1)+(...