Simplify the expression $f\left(x\right)=x^3+1$

Step-by-step Solution

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Final answer to the problem

$f\left(x\right)=\left(x+1\right)\left(x^{2}-x+1\right)$
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Step-by-step Solution

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  • Write in simplest form
  • Solve by quadratic formula (general formula)
  • Find the derivative using the definition
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1

Factor the sum or difference of cubes using the formula: $a^3\pm b^3 = (a\pm b)(a^2\mp ab+b^2)$

Learn how to solve factorization problems step by step online.

$f\left(x\right)=\left(\sqrt[3]{x^3}+\sqrt[3]{1}\right)\left(\sqrt[3]{\left(x^3\right)^{2}}-\sqrt[3]{1}\sqrt[3]{x^3}+\sqrt[3]{\left(1\right)^{2}}\right)$

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Learn how to solve factorization problems step by step online. Simplify the expression f(x)=x^3+1. Factor the sum or difference of cubes using the formula: a^3\pm b^3 = (a\pm b)(a^2\mp ab+b^2). Calculate the power \sqrt[3]{1}. Calculate the power \sqrt[3]{1}. Multiply -1 times 1.

Final answer to the problem

$f\left(x\right)=\left(x+1\right)\left(x^{2}-x+1\right)$

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Function Plot

Plotting: $f\left(x\right)-x^3-1$

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0
a
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f
g
m
n
u
v
w
x
y
z
.
(◻)
+
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×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

Main Topic: Factorization

In mathematics, factorization or factoring is the decomposition of an object (for example, a number, a polynomial, or a matrix) into a product of other objects, or factors, which when multiplied together give the original.

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