因式分解(过程) 4(x+2y)^2-25(x-y)^2 x^2-(y-z)^2 a^2-10a+21 x^3-1 4(a-b)^2+24(a-b)+36 -1+b^2
问题描述:
因式分解(过程) 4(x+2y)^2-25(x-y)^2 x^2-(y-z)^2 a^2-10a+21 x^3-1 4(a-b)^2+24(a-b)+36 -1+b^2
4(x+2y)^2-25(x-y)^2,
x^2-(y-z)^2,
a^2-10a+21,
x^3-1,
4(a-b)^2+24(a-b)+36,
-1+b^2.
答
4(x+2y)^2-25(x-y)^2=(2x+4y+5x-5y)(2x+4y-5x+5y)=(7x-y)(-3x+9y)=-3(7x-y)(x-3y)x^2-(y-z)^2=(x+y-z)(x-y+z)a^2-10a+21=(a-3)(a-7)x^3-1=(x-1)(x^2+x+1)4(a-b)^2+24(a-b)+36=4((a-b)^2+6(a-b)+9)=4(a-b+3)^2-1+b^2=...