分解因式5（x+y）²+23（x²-y²）-10（x-y）²

分解因式5（x+y）²+23（x²-y²）-10（x-y）²
分解因式5（x+y）²+23（x²-y²）-10（x-y）²

分解因式5（x+y）²+23（x²-y²）-10（x-y）²
5(x+y)²+23(x²-y²)-10(x-y)²
=5(x+y)²+23(x+y)(x-y)-10(x-y)²
=[5(x+y)-2(x-y)][(x+y)+5(x-y)]
=(3x+7y)(6x-4y)

5（x+y）²+23（x²-y²）-10（x-y）²
=[5(x+y)-2(x-y)][(x+y)+5(x-y)]
=（5x+5y-2x+2y）（x+y+5x-5y）
=（6x-4y）（3x+7y）

5（x+y）²+23（x²-y²）-10（x-y）²
=5（x+y）(x+y)+23（x-y）(x+y)-5（x-y）*2(x-y)
=[5(x+y)-2(x-y)][(x+y)+5(x-y)]
=(3x+7y)(6x-4y)

5（x+y）²+23（x²-y²）-10（x-y）²
=5（x+y）²+23(x+y)(x-y)-10（x-y）²
=[(x+y)+5(x-y)][5(x+y)-2(x-y)]
=(6x-4y)(3x+6y)
=6(3x-2y)(x+2y)

=5(x+y)²+23(x+y)(x-y)-10(x-y)²
=[5(x+y)-2(x-y)][(x+y)+5(x-y)]
=(5x+5y-2x+2y)(x+y+5x-5y)
=(3x+7y)(6x-4y)
=2(3x+7y)(3x-2y)