Could anyone help me on Factoring Binomials ?

Question

1. factor the following difference of two squares

36x^4 - 49

2. factor the following difference of two squares

36x^2 - 49y^2

3. factor the following binomial completely

27 - x^3

4. Factor the following binomial completely

100 - x^3

5. factor the following binomial completely

x^3 - 216

6. factor the following binomial completely

x^3 - 125y^3

7. Factor the following differences of two squares

x^2 - 9 =

8. Factor the following sum of two cubes

8x^3 + 64 =

9. Factor the following differences of two squares

16y^2 - 4 =

10. Factor the following binomial completely.

x^3 + 8

Answer 1

1. x^4=49/36

  

    x^2=7/6

  

    x=(7/6)^1/2

2. 36x^2-49y^2=0

    (6x+7y)(6x-7y)=0

     solve for x,y in 6x+7y=0 and 6x-7y=0

3. 27=x^3

   3*3*3=x^3

    x=3