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Factor the expression $\left(\sin\left(i\right)+i\sin\left(i\right)\right)^3$

Step-by-step Solution

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Solution

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Final Answer

$\sin\left(i\right)^3\left(1+\sqrt[3]{i}\right)^3\left(1-\sqrt[3]{i}+\sqrt[3]{i^{2}}\right)^3$
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Step-by-step Solution

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Factor the polynomial $\left(\sin\left(i\right)+i\sin\left(i\right)\right)$ by it's greatest common factor (GCF): $\sin\left(i\right)$

$\left(\left(1+i\right)\sin\left(i\right)\right)^3$

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$\left(\left(1+i\right)\sin\left(i\right)\right)^3$

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Learn how to solve factor problems step by step online. Factor the expression (sin(i)+isin(i))^3. Factor the polynomial \left(\sin\left(i\right)+i\sin\left(i\right)\right) by it's greatest common factor (GCF): \sin\left(i\right). The power of a product is equal to the product of it's factors raised to the same power. Factor the sum or difference of cubes using the formula: a^3\pm b^3 = (a\pm b)(a^2\mp ab+b^2). The power of a product is equal to the product of it's factors raised to the same power.

Final Answer

$\sin\left(i\right)^3\left(1+\sqrt[3]{i}\right)^3\left(1-\sqrt[3]{i}+\sqrt[3]{i^{2}}\right)^3$

Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

SimplifyFactor by completing the squareFind the integralFind the derivativeFind (sini+isini)^3 using the definitionSolve by quadratic formula (general formula)Find break even pointsFind the discriminant

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Function Plot

Plotting: $\sin\left(i\right)^3\left(1+\sqrt[3]{i}\right)^3\left(1-\sqrt[3]{i}+\sqrt[3]{i^{2}}\right)^3$

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

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
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

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Main Topic: Factor

Factor the expression.

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