Question

分解因式1-10题，求答案，在线等

Answer 1

ax-ay+bx+cy-cx-by
=a(x-y)+b(x-y)-c(x-y)
=(x-y)(a+b-c)
x^4+x^3+x^2-1
=X^3(x+1)+(x+1)(x-1)
=(x+1)(x^3+x-1)
a(1-b+b^2)-1+b-b^2
=a(1-b+b^2)-(1-b+b^20
=(1-b+b^2)(a-1)
4x(a^2+x^2)-a^2-x^2
=4x(a^2+x^2)-(a^2+x^2)
=(a^2+x^2)(4x-1)
abx^2+bxy-axy-y^2
=bx(ax+y)-y(ax+y)
=(ax+y)(bx-y)
a^2b^3-abc^2d+ab^2cd-c^3d^2
=ab(ab^2-c^2d)+cd(ab^2-c^2d)
=(ab^2-c^2d)(ab+cd)
32ac^2+15cx^2-48ax^2-10c^3
=16a(2c^2-3x^2)-5c(2c^2-3x^2)
=(2c^2-3x^2)(16a-5c)
2(x^2-3ab)+x(4a-3b)
=2x^2-6ab+4ax-3bx
=2x(x+2a)-3b(x+2a)
=(x+2a)(2x-3b)
x^3-x+y^3-y
=(x^3+y^3)-(x+y)
=(x+y)(x^2-xy+y^2)-(x+y)
=((x+y)(x^2-xy+y^2-1)
x^3+y^3+x^2+2xy+y^2
=(x^3+y^3)+(x^2+2xy+y^2)
=(x+y)(x^2-xy+y^2)+(x+y)^2
=(x+y)(x^2-xy+y^2+x+y)