# precalc!!!!!

posted by .

I have to prove this: (a^3-b^3)= (a-b)(a^2+ab+b^2)

How do I use long division to get (a^2+ab+b^2).

I'm given.....
1). (a^3-b^3)/ (a-b)

I cant get that answer. Help?

• precalc!!!!! -

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

a * a ^ 2 + a * a * b + a * b ^ 2 - b * a ^ 2 - b * a * b - b * b ^ 2 =

a ^ 3 + a ^ 2 * b + a * b ^ 2 - a ^ 2 * b - a * b ^ 2 - b ^ 3 =

a ^ 3 - b ^ 3

## Similar Questions

1. ### algebra

what is the answer for x squared + 9 divided by -x-4?
2. ### Precalc

Hello, good afternoon. I need help with my precalc hw. we are learning about finding zeros I don't which method I should use for this problem: if i is a zero of x^3+3x^2+ix+(4+i) what do i do?
3. ### Geometry

Can you just help me with this thanks Directions: Tell which property is being used for each step I will give you an example Example: prove that if 4x-8=-8 then x=0 Given: 4x-8=-8 Prove: 0 A. 4x-8=-8 Given B. 4x-0 Addition property …
4. ### Pre Calc (For Reiny)

Thanks so much your method worked perfectly! My solution was: the remaining zeros were 5+2i, 3, and -4 I have one question that's bugging me though, why is it that synthetic division did not work for me?
5. ### lisa

This is a question given to me to answer:How is dividing a polynomial by a binomial similar to or different from the long division you learned in elementary school?
6. ### algebra 2

2X^4-9X^3+3X^2-X-5=0 Given that one root is 2+i, solve the equation. So far I have it set up like this: 2X^4-9X^3+3X^2-X-5/X^2-4X+5 I don't know how to get the answer, I know that I have to use long division but when I started to try …
7. ### algebra 2

2X^4-9X^3+3X^2-X-5=0 Given that one root is 2+i, solve the equation. So far I have it set up like this: 2X^4-9X^3+3X^2-X-5/X^2-4X+5 I don't know how to get the answer, I know that I have to use long division but when I started to try …
8. ### algebra 2

2X^4-9X^3+13X^2-X-5=0 Given that one root is 2+i, solve the equation. So far I have it set up like this: 2X^4-9X^3+13X^2-X-5/X^2-4X+5 I don't know how to get the answer, I know that I have to use long division but when I started to …
9. ### Calculus

Let f(x)=(2x^3-x^2+2x+1)/(x^2+1). What is the equation of the oblique asymptote of f(x)?
10. ### precalc!!!!!

Use long division : (a^3-b^3)/ (a-b)

More Similar Questions