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Expand the expression $\left(a-2-c\right)^3$

Step-by-step Solution

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Final answer to the problem

$a^3-6a^2-3a^2c-8+12a-12c-c^3+3ac^2-6c^2+12ac$
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Step-by-step Solution

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  • Product of Binomials with Common Term
  • FOIL Method
  • Find the integral
  • Find the derivative
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  • Integrate by substitution
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  • Integrate using tabular integration
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1

Expand the cube of a trinomial

$a^3+3\cdot -2a^2+3\left(-1\right)a^2c+{\left(-2\right)}^3+3\cdot {\left(-2\right)}^2a+3\cdot {\left(-2\right)}^2\left(-1\right)c+\left(-c\right)^3+3a\left(-c\right)^2+3\cdot -2\left(-c\right)^2+6\cdot -2\left(-1\right)ac$

Learn how to solve special products problems step by step online.

$a^3+3\cdot -2a^2+3\left(-1\right)a^2c+{\left(-2\right)}^3+3\cdot {\left(-2\right)}^2a+3\cdot {\left(-2\right)}^2\left(-1\right)c+\left(-c\right)^3+3a\left(-c\right)^2+3\cdot -2\left(-c\right)^2+6\cdot -2\left(-1\right)ac$

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Learn how to solve special products problems step by step online. Expand the expression (a-2-c)^3. Expand the cube of a trinomial. Multiply 3 times -2. Multiply 3 times -1. Multiply 3 times -1.

Final answer to the problem

$a^3-6a^2-3a^2c-8+12a-12c-c^3+3ac^2-6c^2+12ac$

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Function Plot

Plotting: $a^3-6a^2-3a^2c-8+12a-12c-c^3+3ac^2-6c^2+12ac$

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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: Special Products

Special products is the multiplication of algebraic expressions that follow certain rules and patterns, so you can predict the result without necessarily doing the multiplication.

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