分解因式①(x-y)(x-y-1)-6 ②(a+b)(a-b)-2b-1

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分解因式①(x-y)(x-y-1)-6②(a+b)(a-b)-2b-1分解因式①(x-y)(x-y-1)-6②(a+b)(a-b)-2b-1分解因式①(x-y)(x-y-1)-6②(a+b)(a-b)

分解因式①(x-y)(x-y-1)-6 ②(a+b)(a-b)-2b-1
分解因式①(x-y)(x-y-1)-6 ②(a+b)(a-b)-2b-1

分解因式①(x-y)(x-y-1)-6 ②(a+b)(a-b)-2b-1
①(x-y)(x-y-1)-6
=(x-y)²-(x-y)-6
=(x-y-3)(x-y+2)
②(a+b)(a-b)-2b-1
=a²-b²-2b-1
=a²-(b²+2b+1)
=a²-(b+1)²
=(a+b+1)(a-b-1)