(m n^2)^2-m^2n^2 因式分解,还有几道题,1.(m n^2)^2-m^2n^2 2.(a+b)^2-(a-2b)^2 3.(m^2-y^2)^2-(m-y)^2 4.x^2-y^2-x+y
问题描述:
(m n^2)^2-m^2n^2 因式分解,还有几道题,
1.(m n^2)^2-m^2n^2 2.(a+b)^2-(a-2b)^2 3.(m^2-y^2)^2-(m-y)^2 4.x^2-y^2-x+y
答
(m+n^2)^2-m^2n^2 =(m+n²+mn)(m+n²-mn)(a+b)^2-(a-2b)^2 =(a+b+a-2b)(a+b-a+2b)=3b(2a-b)(m^2-y^2)^2-(m-y)^2=(m+y)²(m-y)²-(m-y)²=(m-y)²[(m+y)-1]=(m-y)²(m+y+1)(m+y-1)x^...