因式分解。平方差公式。

Question

1. a^3-ab^3=

2. 0.49a^2-49b^2=

3. 2ab^3-2abc^2=

4. 16a^2 - 25b^2 x^2=

5. (a-1)+a^2(1-a)=

6. m^2(a-2m)^2-m(2m-a)=

7. 4x^2-9y^2=

8. 9a^6-4b^4=

都要过程。

谢谢

Answer 1

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

2. 0.49a^2-49b^2= 0.49[a^2-(10b)^2]=0.49(a-10b)(a+10b)

3. 2ab^3-2abc^2= 2ab(b^2-c^2)=2ab(b-c)(b+c)

4. 16a^2 - 25b^2 x^2= (4a)^2-(5bx)^2=(4a+5bx)(4a-5bx)

5. (a-1)+a^2(1-a)= (a-1)(1-a^2)=-(a-1)^2(a+1)

6. m^2(a-2m)^2-m(2m-a)= m(a-2m)[m(a-2m)+1]

7. 4x^2-9y^2= (2x)^2-(3y)^2=(2x-3y)(2x+3y)

8. 9a^6-4b^4= (3a^3+2b^2)(3a^3-2b^2)

Answer 2

1,无法分解
2,0.49[a^2-(10b)^2]=0.49(a+10b)(a-10b)
3,2ab(b^2-c^2)=2ab(b+c)(b-c)
4,(4a)^2-(5bx)^2=(4a+5bx)(4a-5bx)
5, (a-1)+a^2(1-a)= (a-1)-a^2(a-1)= (a-1)(1-a^2)=(a-1)(1+a)(1-a)
6,m^2(a-2m)^2-m(2m-a)= m^2(a-2m)^2+m(a-2m)= m(a-2m)[m(a-2m)+1]=m(a-2m)(am-2m^2+1)
7,(2x)^2-(3y)^2=(2x+3y)(2x-3y)
8,(3a^3)^2-(2b^2)^2=(3a^3+2b^2)(3a^3-2b^2)

Answer 3

1)a(a^2-b^3)
2)(0.7a+7b)(0.7a-7b)
3)=2ab(b^2-c^2)=2ab(b+c)(b-c)
4)(4a-5bx)(4a+5bx)
5)-(a-1)^2(a+1)
6)m(a-2m)[m(a-2m)+1]
7)(2x-3y)(2x+3y)
8)(3a^3-2b^2)(3a^3+2b^2)