Question

分解因式,急急急急!!!

1. x^2+2x=

2. 9a^2-25b^2=

3. 36a^2-12+1=

4. 6(x-2)+y(2-x)=

5. (x-1)^2-49=

6. 9(a-b)^2-30(a-b)+25=

7. -3ax^2+6axy-3ay^2=

8. x^4-16y^4=

9. (a+b)^2-9(a-b)^2

10. x^2(a-b)+4y^2(b-a)=

11. x^4-18x^2y^2+81y^4=

Answer 1

1. x^2+2x=x(x+2)

2. 9a^2-25b^2=(3a+5b)(3a-5b)

3. 36a^2-12a+1=(6a-1)²

4. 6(x-2)+y(2-x)=(6-y)(x-2)

5. (x-1)^2-49=(x-1+7)(x-1-7)=(x+6)(x-8)

6. 9(a-b)^2-30(a-b)+25=[3(a-b)-5]²=(3a-3b-5)²

7. -3ax^2+6axy-3ay^2=-3a(x-y)²

8. x^4-16y^4=(x²+4y²)(x²-4y²)=(x²+4y²)(x+2y)(x-2y)

9. (a+b)^2-9(a-b)^2=[(a+b)+3(a-b)][(a+b)-3(a-b)]=(4a-2b)(-2a+4b)=4(2a-b)(-a+2b)

10. x^2(a-b)+4y^2(b-a)=(a-b)(x²-4y²)=(a-b)(x+2y)(x-2y)

11. x^4-18x^2y^2+81y^4=(x²-9y²)²=[(x+3y)(x-3y)]²=(x+3y)²(x-3y)²

Answer 2

x(x+2) (3a+5b)(3a-5b) (6a-1)^2 (x-2)(6-y) (x+6)(x-8) (3a-3b-5)^2
-3a(x-y)^2 (x+4y)(x-4y) (4a-2b)(4b-2a) (a-b)(x+2y)(x-2y) (x^2-9y^2)^2

Answer 3

1.=x(x+2)
2.=(3a+5b)(3a-5b)
3.=(6a-1)^2
4.=(x-2)(6-y)
5.=(x+6)(x-8)
6.=(3a-3b-5)^2
7.=-3a(x-y)^2
8.=(x^2+4y^2)(x+2y)(x-2y)
9.=2(2a-b)(2b-a)
10.=(b-a)(x+2y)(x-2y)
11.=(x+3y)^2(x-3y)^2

Answer 4

1、x^2+2x=x(x+2)
2、 9a^2-25b^2=（3a+5b）(3a-5b)
3、36a^2-12a+1=(6a-1)2
4、 6(x-2)+y(2-x)=（x-2）（6-y）
5、(x-1)^2-49=（x-1+7）(x-1-7)=(x+6)(x-8)
6、9(a-b)^2-30(a-b)+25=（3a-3b-5）^2
7、-3ax^2+6axy-3ay^2=-3a（x-y)^2
8、 x^4-16y^4=（ x^2+4y^2）（x+2y）(x-2y)
9. (a+b)^2-9(a-b)^2=(a+b+3a-3b)(a+b-3a+3b)=(4a-2b)(4b-2a)=4（2a-b）(2b-a)
10. x^2(a-b)+4y^2(b-a)=(a-b)(x+2y)(x-2y)
11. x^4-18x^2y^2+81y^4=(x+3y)^2(x-3y)^2