①4(x+y)²-9(x-y)²②(x²+1)²-20(x²+1)+100③x²+5x-6④(a²+a)-10(a²+a)-24⑤xy-x-y+1⑥a²-b²-2a+1

①4(x+y)²-9(x-y)²②(x²+1)²-20(x²+1)+100③x²+5x-6④(a²+a)-10(a²+a)-24⑤xy-x-y+1⑥a²-b²-2a+1
①4(x+y)²-9(x-y)²
②(x²+1)²-20(x²+1)+100
③x²+5x-6
④(a²+a)-10(a²+a)-24
⑤xy-x-y+1
⑥a²-b²-2a+1

①4(x+y)²-9(x-y)²②(x²+1)²-20(x²+1)+100③x²+5x-6④(a²+a)-10(a²+a)-24⑤xy-x-y+1⑥a²-b²-2a+1
①4(x+y)²-9(x-y)²
=[2(x+y)+3(x-y)][2(x+y)-3(x-y)]
=(5x-y)(-x+5y)
②(x²+1)²-20(x²+1)+100
=(x²+1-10)²
=(x²-9)²
=(x+3)²(x-3)²;
③x²+5x-6
=(x+6)(x-1);
④(a²+a)-10(a²+a)-24
=(a²+a-12)(a²+a+2)
=(a+4)(a-3)(a²+a+2);
⑤xy-x-y+1
=x(y-1)-(y-1)
=(x-1)(y-1);
⑥a²-b²-2a+1
=(a-1)²-b²
=(a-1+b)(a-1-b)
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