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2007-01-16 08:33:42 · 5 answers · asked by silverchair 1 in Science & Mathematics Mathematics

5 answers

Factor using difference of cubes rule.
x^3 - 8 is actually x^3-2^3, since 2^3 is 8

RULE: x^3 - y^3 = (x-y)(x^2 + xy + y^2)

x^3-2^3
=(x-2)(x^2+2x+2^2)
(x-2)(x^2+2x+4)

2007-01-16 08:44:20 · answer #1 · answered by Wolfshadow 3 · 3 1

This means you substitute in different values for 'x'. Cube those values , that multiply itself three times over ( eg 2 x 2 x 2 = 2^3)
Then you subtract 8 from the answer.

2007-01-16 16:39:25 · answer #2 · answered by lenpol7 7 · 1 2

*You need to know the difference of cubes formula >>>
>> (a - b)(a^2 + ab + b^2)

First: break down the expression - eliminate the exponent beside the "x" ...

(x)(x)(x) - (2)(2)(2)

*You need a term for the "a" and "b" variable: a = x and b = 2

Sec: replace "x" with the a-variable and replace "2" with the
b-variable in the formula....

(x - 2)(x^2 + x(2) + 2^2)

(x - 2)(x^2 + 2x + 4)

2007-01-16 17:09:49 · answer #3 · answered by ♪♥Annie♥♪ 6 · 0 0

To solve for x.Consider x^3-8 equals 0
x^3-8=0
x^3=8
x=2

If you want to find what is x^3-8 you must know x.

2007-01-16 16:38:07 · answer #4 · answered by Eshwar 5 · 0 1

That's a binomial expression in x of degree three.
What do you want to do with it?
Do you want to graph y = x^3 - 8?
do you want to solve x^3 - 8 = 0?
Do you want to factor it?
Do you want to evaluate it for different values of x?
You're getting all sorts of different answers here because you're not clear in your question. All of them are right but which one really helps? Please clarify your question and we can help you better.

2007-01-16 16:47:54 · answer #5 · answered by Joni DaNerd 6 · 1 2

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