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Factor the expression $\left(x^3+1\right)^3\left(x-1\right)^5x^2$

Step-by-step Solution

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Final answer to the problem

$\left(x+1\right)^3\left(\left(x-\frac{1}{2}\right)^2+\frac{3}{4}\right)^3\left(x-1\right)^5x^2$
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Step-by-step Solution

How should I solve this problem?

  • Factor
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
  • Prove from LHS (left-hand side)
  • Load more...
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1

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

$\left(\left(x+1\right)\left(x^{2}-x+1\right)\right)^3\left(x-1\right)^5x^2$

Learn how to solve simplify trigonometric expressions problems step by step online.

$\left(\left(x+1\right)\left(x^{2}-x+1\right)\right)^3\left(x-1\right)^5x^2$

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Learn how to solve simplify trigonometric expressions problems step by step online. Factor the expression (x^3+1)^3(x-1)^5x^2. 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. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-1x+\frac{1}{4}.

Final answer to the problem

$\left(x+1\right)^3\left(\left(x-\frac{1}{2}\right)^2+\frac{3}{4}\right)^3\left(x-1\right)^5x^2$

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Function Plot

Plotting: $\left(x+1\right)^3\left(\left(x-\frac{1}{2}\right)^2+\frac{3}{4}\right)^3\left(x-1\right)^5x^2$

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7
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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
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: Simplify Trigonometric Expressions

Simplification of trigonometric expressions consists of rewriting an expression with trigonometric functions in a simpler form. To perform this task, we usually use the most common trigonometric identities, and some algebra.

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