因式分解题与答案 需100题

Question

帮忙

Answer 1

y-x=-（x-y）
-n-m=-（n+m）
x（b-a）=（-x）（a-b）
3（y-x^2)=-3(x^2-y)
2a(y-x)^2=(2a)(x-y)^2
-3a(y-x)^3=(3a)(x-y)^3
(x+y)(x-y)=-(x+y)(y-x)
3(2+x)(x-2)=(3)(x+2)(x-2)
分解因式4x（2x-y）+2y（y-2x）=2(2x-y)^2
分解因式x（a+b）-y（a+b）=(a+b)(x-y)
分解因式（m-n）^2+2(m-n)^3=(m-n)^2(1+2m-2n)
分解因式21（a-b）^3-35(b-a)^2=7(a-b)^2(3a-3b-5)
分解因式4a(x+y-z)+10a^2(z-x-y)=2a(x+y-z)(2-5a)
二分解因式
2m(a-c)-5(a-c)=(2m-5)(a-c)
3a(x+y)^2-2(y+x)^2=(x+y)^2(3a-2)
x(y-z)-y(z-y)=(y-z)(x+y)
mn(n-m)-n(m-n)=(n-m)(mn+n)=n(n-m)(m+1)
(2a+b)(2a-3b)+a(2a+b)=3(2a+b)(a-b)
x(a-x)-y(x-a)+3(a-x)=(a-x)(x+y+3)
3(x+y)^2-2(x+y)=(x+y)(3x+3y-2)
3(a+b)-4b(a+b)^2=(a+b)(2-4ba-4b^2)
6(a-b)^2-8(a-b)^3=2(a-b)^2(3-4a+4b)
2(x-y)(x+y)-(x-y)^2=(x-y)(2x+2y-x+y)=(x-y)(x+3y)
x^2(m-n)^5-xy(n-m)^4=x(m-n)^4(mx-nx-y)
x^2(m-n)^5-xy(n-m)^3=x^2(m-n)^5+xy(m-n)^3=x(m-n)^3(xm^2+xn^2-2xmn+y)
6(x-y)^3+15(y-x)^2-9(y-x)^3=6(x-y)^3+15(x-y)^2+9(x-y)^3=3(x-y)^2(5x-5y+5)=15(x-y)^2(x-y+1)
你先凑合着看吧，望采纳，o(∩_∩)o哈~
因为以前回答过类似的问题

Answer 2

因式分解:
1 x^(n+5)+9x^(n+3)-162x^(n+1)
2 (x^2+5x+6)(x^2+5x-2)+16

其他:
3 (-2)^99+(-2)^100=2^n, 求n.

4 化简 84a^2 b^3 c^4 d^2
----------------- =______ ;
-96c^2 d^3 b^5 a

2xy-x^2-y^2+z^2
--------------- =______
2xz+x^2-y^2+z^2

a^2 a^3-1
5 计算:(-a^2+ --- -a-1)* -----
a-1 a^2+a+1

1.
x^(n+5)+9x^(n+3)-162x^(n+1)
=x^(n+1)(x^4+9x²-162)
=x^(n+1)(x²+18)(x²-9)
=x^(n+1)(x²+18)(x+3)(x-3)
2.
(x²+5x+6)(x²+5x-2)+16
=(x²+5x+2+4)(x²+5x+2-4)+16
=(x²+5x+2)²-16+16
=(x²+5x+2)²
3.
2^n=(-2)^99+(-2)^100
=2^100-2^99
=2^99*(2-1)=2^99，
故n=99。
4.
(84a²b³c^4 d²)/(-96c²d³b^5 a )
=-(7ac²)/(8b²d)
(2xy-x²-y²+z²)/(2xz+x²-y²+z²)
=[z²-(x-y)²]/[(x+z)²-y²]
=[(x-y+z)(-x+y+z)]/[(x-y+z)(x+y+z)]
=(y+z-x)/(x+y+z)
5.
[-a²+a²/(a-1)-a-1]*(a³-1)/(a²+a+1)
=a²*(a³-1)/[(a²+a+1)(a-1)]+(-a²-a-1)*(a³-1)/(a²+a+1)
=a²-(a³-1)
= -a³+a²+1本回答被网友采纳