Question

Help me with factoring question!

Answer 1

Factor the sum or difference of cubes

Answer 2

\[X^2-\frac{ 8 }{ 27 }\]

Answer 3

That should be : x^3 - 8/27.

Answer 4

yea

Answer 5

My bad

Answer 6

Can you teach me step by step on how to do this?

Answer 7

You know about the formula a^3 - b^3 ?

Answer 8

No

Answer 9

I didn't know there was a formula

Answer 10

If you don't know it you can't factor that expression.

Answer 11

Can you teach me it? I really want to learn this, so I don't have trouble in the future

Answer 12

Ok I'll give you the formula and you'll have to apply it in this case.
a3 – b3 = (a – b)(a2 + ab + b2)

Answer 13

Ok

Answer 14

\[x ^{3} - \frac{ 8 }{ 27 } = x ^{3} - (\frac{ 2 }{ 3 })^{3}\] Take a=x and b=2/3 and apply the formula.

Answer 15

Ok. I saw someone in my class do it similarly. Only they did it like this\[\frac{ x^3 * 27 - 8}{ 27 }\]

Answer 16

Then they did multiplied the 27 by the x^3

Answer 17

to get \[\frac{ 27x^3 - 8 }{ 27 }\]

Answer 18

Are you asked to find the common denominator or to factor ??

Answer 19

Factor

Answer 20

I just wanted to see if there were different ways to do it.

Answer 21

Sorry if I confused you.

Answer 22

Well what you did there was find the common denominator, that is not how to factor.

Answer 23

Ok.

Answer 24

\[x ^{3}-\frac{ 27 }{ 8 }=x ^{3}-(\frac{ 2 }{ 3 })^{3}=(x-\frac{ 2 }{ 3 })(x ^{2}+\frac{ 2 }{ 3 }x+\frac{ 4 }{ 9 })\] That's how you factor.

Answer 25

Is that all?

Answer 26

Ok. That is what I got.

Answer 27

Thanks so much.

Answer 28

Welcome !