分解因式 1 3 a b 3 ab 2 a 2b

2021-09-14 05:01:06 字数 1950 阅读 2610

1楼:银星

(1)3(a+b)^3-ab^2-a^2b=3(a+b)-ab(a+b)

=(3(a+b)-ab) (a+b)

=(3a+3b+2ab)(a+b)

(2)3(x^2-y^2)+y-x

=3(x+y)(x-y)-(x-y)

=(x-y)(3x+3y-1)

(3)1/2a^2+2ab+2b^2

=(1/2)(a+4ab+4b)

=(1/2)(a+2b)

(4)(y^2-6)^2-6(y^2-6)+9=(y-6-3)

=(y-9)

=(y+3)(y-3)

(5)a^2/9-4/3a+4

=(1/9)(a-12a+36)

=(1/9)(a-6)

2、计算:(1-1/2^2)(1-1/3^2)(1-1/4^2)·…(1-1/2013^2)(1-1/2014^2)

=(1+1/2)(1-1/2)(1+1/3)(1-1/3).....(1+1/2014)(1-1/2014)

=(3/2)*(1/2)(4/3)(2/3)(5/4)(3/4).......(2015/2014)(2013/2014)

=(1/2)*(2015/2014)

=2015/4028

3、分解因式:

-a+4a-4a

=-a(a-4a+4)

=-a(a-2)

4、分解因式:

0.01x+0.2x+1

=0.01(x+20x+100)

=0.01(x+10)

5、若x-y=xy=2,则x+y+3xy的值是___14____x+y+3xy

=(x-y)+5xy

=2+5*2

=146、2013+4026+1是___2014____的平方2013+4026+1

=2013+2*213+1

=(2013+1)

=2014

因式分解: (1)a^2+b^2+6a+6b+2ab+9 (2)x^2+2x-2y-y^2 (3)a^2-b^2-2b-1 (4)3x^2+6xy+3y^2

2楼:匿名用户

a^2+b^2+6a+6b+2ab+9

=(a+b)^2+6(a+b)+9

=(a+b+3)^2

x^2+2x-2y-y^2

=(x+y)(x-y)+2(x-y)

=(x-y)(2+x+y)

a^2-b^2-2b-1

=a^2-(b+1)^2

=(a+b+1)(a-b-1)

3x^2+6xy+3y^2

=3(x+y)^2

3楼:吾武悟

(1)(a+b+3)^2;(2)(x-y)(x-y+2);(3)(a-b-1)(a+b+1);(4)3(x+y)^2

因式分解: (1)1/2a^2+2ab+2b^2 (2)(a+b)^2-4ab (3)a^2(a^2-8b^2)+16b^4 (4)(a+1)(a+2)+1/4

4楼:匿名用户

^(1)1/2a^2+2ab+2b^2

=(a+4ab+4b)/2

=(a+2b)/2

(2)(a+b)^2-4ab

=a-2ab+b

=(a-b)

(3)a^2(a^2-8b^2)+16b^4=a^4-8ab+16b^4

=(a-4b)

=(a+2b)(a-2b)

(4)(a+1)(a+2)+1/4

=a+3a+9/4

=(a+3/2)

(5)(a+b)^2-4(a+b-1)

=(a+b)-4(a+b)+4

=(a+b-2)

要有过程

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