(x+4y-6)(x-4y+6)-(4y+x+6)(4y-x-6)

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(x+4y-6)(x-4y+6)-(4y+x+6)(4y-x-6)
(x+4y-6)(x-4y+6)-(4y+x+6)(4y-x-6)

(x+4y-6)(x-4y+6)-(4y+x+6)(4y-x-6)
(x+4y-6)(x-4y+6)-(4y+x+6)(4y-x-6)
=[x+(4y-6)][x-(4y-6)]-([4y+(x+6)][4y-(x+6)]
=[x^2-(4y-6)^2]-[(4y^2)-(x+6)^2]
=[x^2-(16y^2-48y+36)]-[16y^2-(x^2+12x+36)]
=x^2-16y^2+48y-36-16y^2+x^2+12x+36
=2x^2-32y^2+60y

(x+4y-6)(x-4y+6)-(4y+x+6)(4y-x-6)
=(x+（4y-6)）（(x-（4y-6)）-(4y+（x+6）)(4y-（x+6）)
=x^2-（4y-6)^2-(16y^2-(x+6)^2)
=x^2-（4y-6)^2-16y^2+(x+6)^2
=x^2-(16y^2-48y+36)-16y^2+x^2+12x+36
=2x^2+12x-32y^2+48y

(x+4y-6)(x-4y+6)-(4y+x+6)(4y-x-6)
=(x+4y-6)(x-4y+6)+(4y+x+6)(x-4y+6)
=(x+4y-6+4y+x+6)(x-4y+6)
=(2x+8y)(x-4y+6)
=2(x+4y)(x-4y+6)

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问题是啥呀？因式分解还是积化和差，都做一下吧
(x+4y-6)(x-4y+6) - (4y+x+6)(4y-x-6)
=(x+4y-6)(x-4y+6) + (4y+x+6)(x-4y+6)
=(x+4y-6 + 4y+x+6)(x-4y+6)
=(2x+8y)(x-4y+6)
=2(x+4y)(x-4y+6)
(x+4y-6)(x-4y+6)-(4y+x+6)(4y-x-6)
=[x+(4y-6)][x-(4y-6)] - ([4y+(x+6)][4y-(x+6)]
=[x^2 - (4y-6)^2] - [(4y^2) - (x+6)^2]
=[x^2 - (16y^2-48y+36)] - [16y^2 - (x^2+12x+36)]
=x^2-16y^2+48y-36 -16y^2+x^2+12x+36
=2x^2 - 32y^2 + 60y

收起

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