因式分解 （a+b）²-1 -（x+2）²+16（x-1）² （3x+2y）²-（x-y）²

因式分解 （a+b）²-1 -（x+2）²+16（x-1）² （3x+2y）²-（x-y）²
因式分解 （a+b）²-1 -（x+2）²+16（x-1）² （3x+2y）²-（x-y）²

因式分解 （a+b）²-1 -（x+2）²+16（x-1）² （3x+2y）²-（x-y）²
（a+b）²-1
=（a+b+1)(a+b-1)
-（x+2）²+16（x-1）²
=[4(x-1)+(x+2)][4（x-1)-(x+2)]
=(4x-4+x+2)(4x-4-x-2)
=(5x-2)(3x-6)
=3(x-2)(5x-2)
（3x+2y）²-（x-y）²
=[(3x+2y)+(x-y)][(3x+2y)-(x-y)]
=(3x+2y+x-y)(3x+2y-x+y)
=(4x+y)(2x+3y)

（a+b）²-1
=(a+b+1)(a+b-1)

-（x+2）²+16（x-1）²
=(4(x-1))^2-(x+2)^2
=(4(x-1)-(x+2))(4(x-1)+(x+2)
=(4x-4-x-2)(4x-4+x+2)
=(3x-6)(5x-2)
=3(x-2)(5x-2)

...

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（a+b）²-1
=(a+b+1)(a+b-1)

-（x+2）²+16（x-1）²
=(4(x-1))^2-(x+2)^2
=(4(x-1)-(x+2))(4(x-1)+(x+2)
=(4x-4-x-2)(4x-4+x+2)
=(3x-6)(5x-2)
=3(x-2)(5x-2)

（3x+2y）²-（x-y）²
=(3x+2y-(x-y))(3x+2y+(x-y))
=(3x+2y-x+y)(3x+2y+x-y)
=(2x+3y)(4x+y)

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