Mathematics: What is the factored form of eight x cubed plus twenty seven

What is the factored form of eight x cubed plus twenty

Ответ:

jake2920

14.03.2022

Eight x cubed plus twenty seven in mathematical notation is $8x^{3}+27$ . Notice that the second term, 27, can be expressed as a cube: $27=3*3*3=3^{3}$ . 8 can aslo be expressed as a cube: 8=2*2*2=2^3

so we can rewrite our expression as a sum of two cubes cubes:
8x^3+27=(2x)^3+3^3

Now, to factor our sum of cubes, we are going to use the formula: a^3+b^3=(a+b)(a^2-ab+b^2)

. From our previous calculations we can infer that a=2x

, and

, so lets replace those values in our formula:
a^3+b^3=(a+b)(a^2-ab+b^2)

We can conclude that the factored form of eight x cubed plus twenty seven is (2x+3)(4x^2-6x+9)

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Ответ:

uwunuzzles

28.10.2021

Mathematics

$\mathrm{Domain\:of\:}\:0.5^x-9\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:$

Step-by-step explanation:

Domain:

The function has no undefined points nor domain constraints. Therefore, the domain is

$...-\infty \:$

Definition: The domain of a function is the set of input or argument values for which the function is real and defined.

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Range:

$\mathrm{The\:range\:of\:an\:exponential\:function\:of\:the\:form}\:c\cdot \:n^{ax+b}+k\:\mathrm{is}\:\:f\left(x\right)k\\k=-9$

$f\left(x\right)-9$

Definition: The set of values of the dependent variable for which a function is defined.

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Asymptotes:

$\mathrm{Vertical\:asymptotes\:of\:}0.5^x-9:\quad \mathrm{None}\\\mathrm{Horizontal\:Asymptotes\:of\:}0.5^x-9:\quad y=-9\\\mathrm{Horizontal}:\:y=-9x^{2}$

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What is the factored form of eight x cubed plus twenty seven

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