jylmoon
幼苗
共回答了16个问题采纳率:93.8% 举报
1.(1-a²)(1-b²)-4ab
=a^2*b^2-a^2-b^2+1-4ab
=(a^2*b^2-2ab+1)-(a^2+b^2+2ab)
=(ab-1)^2-(a+b)^2
=(ab-1+a+b)(ab-1-a-b)
2.2x²+xy-6y²+2x+11y-4
=(2x-3y)(x+2y)+2x+11y-4
=(2x-3y)(x+2y)+4x+8y-2x+3y-4
=(2x-3y)(x+2y)+4(x+2y)-2x+3y-4
=(x+2y)(2x-3y+4)-(2x-3y+4)
=(2x-3y+4)(x+2y-1)
3.x³-y³-x²-xy-y²
4.a²b﹢ab²﹢a²c﹢ac²﹢b²c﹢bc²﹢2abc
5.a²(b-c)+b²(c-a)+c²(a-b)
=(a^2b-b^2a)-(a^2c-b^2c)+c^2(a-b)
=ab(a-b)-c(a-b)(a+b)+c^2(a-b)
=(a-b)(ab-c(a+b)+c^2)
=(a-b)(ab-ac-bc+c^2)
=(a-b)(a(b-c)-c(b-c))
=(a-b)(b-c)(a-c)
6.﹙ab+bc+ca)(a+b+c)-abc
=a^2b+2abc+ca^2+ab^2+b^2c+bc^2+c^2a
=(a^2b+ab^2)+(bc^2+ac^2)+(2cab+ca^2+cb^2)
=ab(a+b)+c^2(a+b)+c(a+b)^2
=(a+b)(ab+c^2+ac+cb)
=(a+b)[(ab+bc)+(c^2+ac)]
=(a+b)(a+c)(b+c)
7.x^4+(x+y)^4+y^4
=(x^2+y^2)^2-2x^2y^2+(x+y)^4
=[(x+y)^2-2xy]^2-2x^2y^2+(x+y)^4
=[(x+y)^2]^2-4xy(x+y)^2+4x^2y^2-2x^2y^2+(x+y)^4
=2(x+y)^4-4xy(x+y)^2+2x^2y^2
=2[(x+y)^4-2xy(x+y)^2+(xy)^2]
=2[(x+y)^2-xy]^2
=2(x^2+xy+y^2)^2.
8.x³-19x-30
9.x³+6x²+11x+6
10.2x^4--5x³-10x²+15x=18
吃饭去了,尽量了,立刻能写出来的只能这么多了
1年前
7