分解因式5(x+y)²+23(x²-y²)-10(x-y)²
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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)