How do you work out what 8 cubed is ?

Mathematics

2 answers:

GenaCL600 [577]3 years ago

7 0

Step-by-step explanation:

so do you have building blocks cuz you use it and then after you do that you get the cue that has an eight on it and then you would keep on adding on and then that would be the answer

Anna35 [415]3 years ago

6 0

Answer:

512.

Step-by-step explanation:

8 cubed is the same as 8 to the third power.

We usually use other ways to represent certain number to the power to help make equations easier and write less so,

instead of saying: 2 to the second power; we say 2 squared.

Instead of saying 2 to the third power; we say 2 cubed.

The number 2 was used just as example, it could be any number.

so 8 cubed = 8 to the third power so,

8 cubed = $8^{3}$ = 8x8x8 = 512

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Answer: $\bold{x=-3\qquad x=\dfrac{3+3i\sqrt3}{2}\qquad x=\dfrac{3-3i\sqrt3}{2}}$

<u>Step-by-step explanation:</u>

The formula for factoring a cubic is:

a³ + b³ = (a + b)(a² - ab + b²)

f(x) = x³ + 3³

= (x + 3)(x² - 3x + 9)

To find the zeros, set each factor equal to zero and solve.

0 = x + 3 0 = x² - 3x + 9

-3 = x use quadratic formula

$x^2-3x+9\quad \rightarrow \quad a=1, b=-3, c=9\\\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-3)\pm\sqrt{(-3)^2-4(1)(9)}}{2(1)}\\\\\\x=\dfrac{3\pm\sqrt{9-36}}{2}\\\\\\x=\dfrac{3\pm\sqrt{-27}}{2}\\\\\\x=\dfrac{3\pm3i\sqrt{3}}{2}$