Posted by **Linds** on Thursday, January 18, 2007 at 10:22pm.

how to factor x^3-27

well since 27 is a perfect cube and so is x^3 wouldn't the answer be x-3?

no, its something like (2x-3)(?x^2+?X+?) i dont know how to figure all the parts out.

Here's the format for the difference between two cubes:

(a - b)(a^2 + ba + b^2) = a^3 - b^3.

Using this format for your problem:

a = x, b = 3 (the cubed root of 27 is 3).

(x - 3)(x^2 + 3x + 9) = x^3 - 27

I hope this will help.

yes thank you so much!

oooooo yeah now i remember.

since it is minus the formula should be something like:

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

x^3-27

(x-3)(x^2 +3x+ 9)

^^i think thats the answer

how about 8x^3-27? how do you do that?

a=2x

b=3

You can use the same format because the cubed root of 8x^3 is 2x.

Here's the format again for the difference between two cubes:

(a - b)(a^2 + ba + b^2) = a^3 - b^3.

Using the format:

a = 2x, b = 3 (the cubed root of 27 is 3).

(2x - 3)(4x^2 + 6x + 9) = 8x^3 - 27

And there you have it!

Hi Math Guru is there a way to figure out

(a - b)(a^2 + ba + b^2) = a^3 - b^3

without just memorizing the formula?

## Answer This Question

## Related Questions

- Algebra - I have a few more questions that I either need help with or just need ...
- maths - a solid cube of side l floats on water with 20% of its volume under ...
- Math - Jan built a cube from unit cubes (each 1 by 1 by 1 unit). Ken took this ...
- maths - can you answer this question: prove that a number 10^(3n+1), where n is ...
- Algebra - A large cube is formed by using many small 1"x1"x1" cubes. Once the ...
- Math - Each cube below is made up of smaller cubes, but the large cubes are not ...
- math - Each cube below is made up of smaller cubes, but the large cubes are not ...
- Math - Each cube below is made up of smaller cubes, but the large cubes are not...
- math (algebra honors) - The edge of one cube is 2 cm shorter than the edge of a ...
- Physics - Consider eight, eight-cubic centimeter (8 cm3) sugar cubes stacked so ...

More Related Questions