X3次方-XY3次方;4a的3次方-4a的平方+a;25X平方-10X(X-Y)+(X-Y)平方;(X-4)(X+1)+3X,因式分解
问题描述:
X3次方-XY3次方;4a的3次方-4a的平方+a;25X平方-10X(X-Y)+(X-Y)平方;(X-4)(X+1)+3X,因式分解
答
X^3-XY^3 = X(X^2-Y^3)
4a^3-4a^2+a
=a*[ (2a)^2 +2 * 2a +1]
=a(2a+1)^2
25x^2-10x(x-y)+(x-y)^2
=(5x)^2+ 2*5x*(x-y) +(x-y)^2
=(5x+x-y)^2=(6x-y)^2
(x-4)(x+1)+3x = x^2-4=(x+2)(x-2)