因式分解4x^2+y^2+4xy+6x+3y-28
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因式分解4x^2+y^2+4xy+6x+3y-28
4x^2+y^2+4xy+6x+3y-28
(x+y)^2-4(x^2-y^2)-21(x-y)^2
4x^2+y^2+4xy+6x+3y-28
(x+y)^2-4(x^2-y^2)-21(x-y)^2
4x^2+y^2+4xy+6x+3y-28
=(2x+y)^2+3(2x+y)-28
=(2x+y+7)(2x+y-4)
(x+y)^2-4(x^2-y^2)-21(x-y)^2
=(x+y)^2-4(x+y)(x-y)-21(x-y)^2
=[(x+y)-7(x-y)][(x+y)+3(x-y)]
=(x+y-7x+7y)(x+y+3x-3y)
=(-6x+8y)(4x-2y)
=4(-3x+4y)(2x-y)
再问: [(x+y)-7(x-y)][(x+y)+3(x-y)]这一部我看不懂
再答: 十字交叉因式分解 1 -7 × 1 3
=(2x+y)^2+3(2x+y)-28
=(2x+y+7)(2x+y-4)
(x+y)^2-4(x^2-y^2)-21(x-y)^2
=(x+y)^2-4(x+y)(x-y)-21(x-y)^2
=[(x+y)-7(x-y)][(x+y)+3(x-y)]
=(x+y-7x+7y)(x+y+3x-3y)
=(-6x+8y)(4x-2y)
=4(-3x+4y)(2x-y)
再问: [(x+y)-7(x-y)][(x+y)+3(x-y)]这一部我看不懂
再答: 十字交叉因式分解 1 -7 × 1 3
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