因式分解①16x^2y^2-9 ②-24x^2y-12xy^2+28^3 ③(2a+x)^2-(a-x)^2 ④-4x+1+4x^2 ⑤2xy-y^2-x^2因式分解①16x^2y^2-9 ②-24x^2y-12xy^2+28^3 ③(2a+x)^2-(a-x)^2 ④-4x+1+4x^2 ⑤2xy-y^2-x^2
问题描述:
因式分解①16x^2y^2-9 ②-24x^2y-12xy^2+28^3 ③(2a+x)^2-(a-x)^2 ④-4x+1+4x^2 ⑤2xy-y^2-x^2
因式分解①16x^2y^2-9 ②-24x^2y-12xy^2+28^3 ③(2a+x)^2-(a-x)^2 ④-4x+1+4x^2 ⑤2xy-y^2-x^2
答
①16x^2y^2-9 =(4xy-3)(4xy+3)②-24x^2y-12xy^2+28^3有问题③(2a+x)^2-(a-x)^2 =(2a+x+a-x)(2a+x-a+x)=(3a)(a+2x)=3a(a+2x)④-4x+1+4x^2=4x^2-4x+1=(2x-1)^2⑤2xy-y^2-x^2=-(x^2-2xy+y^2)=-(x-y)^2