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
问题描述:
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
答
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...