数学题!因式分解!急!过程!①x²-x-6②x²+x-12③-x²-5x-4④x²+3xy-28y²⑤(a+b)²-4(a+b)-12⑥(x²-x)²-4
问题描述:
数学题!因式分解!急!过程!
①x²-x-6
②x²+x-12
③-x²-5x-4
④x²+3xy-28y²
⑤(a+b)²-4(a+b)-12
⑥(x²-x)²-4
答
1.(x-3)(x+2)
2.(x+4)(x-3)
3.-(x-4)(x-1)
4.(x-4y)(x+7y)
5.(a+b-6)(a+b+2)
6.(x^2-x+2)(x-2)(x+1)
答
①x²-x-6=(x-3)(x+2)
②x²+x-12=(x+4)(x-3)
③-x²-5x-4=-(x+4)(x+1)
④x²+3xy-28y²=(x+7y)(x-4y)
⑤(a+b)²-4(a+b)-12=(a+b-6)(a+b+2)
⑥(x²-x)²-4
=(x²-x-2)(x²-x+2)
=(x-2)(x+1)(x+2)(x-1)