因式分解 (1)16m^3n^2-9mn^3 (2)4(x-y)^3-8x(x-y)^2 (3)10a(x-y)^2-5b(y-x)
问题描述:
因式分解 (1)16m^3n^2-9mn^3 (2)4(x-y)^3-8x(x-y)^2 (3)10a(x-y)^2-5b(y-x)
(4)-4(x-2y)^2+9(x+y)^2
(5)(x^2-4x)^2+8(x^2-4x)+16
答
1 16m^3n^2-9mn^3 =mn(16m²n-9n²)2 4(x-y)^3-8x(x-y)^2=4(x-y)^2[(x-y)-2x]=4(x-y)^2[-y-x]=-4(x-y)^2(x+y)3 10a(x-y)^2-5b(y-x)=10a(x-y)^2+5b(x-y)=5(x-y)[10a(x-y)+b]=5(x-y)[10ax-10y+...