Question

分解因式 12xy^2-3x^3 121(a-b)^2-169(a+b)^2 x^2-4y^2+x-2y 2x^n+2-

Answer 1

12xy^2-3x^3=3x(4y^2-x^2)=3x(2y+x)(2y-x)

121(a-b)^2-169(a+b)^2=〔11(a-b)+13(a+b)〕〔11(a-b)-13(a+b)〕=(24a+2b)(-2a-24b)=-4(12a+b)(a+12b)

x^2-4y^2+x-2y =(x+2y)(x-2y)+(x-2y)=(x-2y)(x+2y+1)

2x^(n+2)-8x^n=2x^n(x^2-4)=2x^n(x+2)(x-2)