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Expand the expression $\left(3x+2y-2z\right)^3$

Step-by-step Solution

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Final answer to the problem

$27x^3+54x^2y-54x^2z+8y^3+36xy^2-6z4y^2+\left(-2z\right)^3+9x\left(-2z\right)^2+6y\left(-2z\right)^2-72xyz$
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Step-by-step Solution

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Expand the cube of a trinomial

$\left(3x\right)^3+3\cdot 2\left(3x\right)^2y+3\cdot -2\left(3x\right)^2z+\left(2y\right)^3+3\cdot 3x\left(2y\right)^2+3\cdot -2\left(2y\right)^2z+\left(-2z\right)^3+3\cdot 3x\left(-2z\right)^2+3\cdot 2y\left(-2z\right)^2+6\cdot 3\cdot 2\cdot -2xyz$

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

$\left(3x\right)^3+3\cdot 2\left(3x\right)^2y+3\cdot -2\left(3x\right)^2z+\left(2y\right)^3+3\cdot 3x\left(2y\right)^2+3\cdot -2\left(2y\right)^2z+\left(-2z\right)^3+3\cdot 3x\left(-2z\right)^2+3\cdot 2y\left(-2z\right)^2+6\cdot 3\cdot 2\cdot -2xyz$

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

Final answer to the problem

$27x^3+54x^2y-54x^2z+8y^3+36xy^2-6z4y^2+\left(-2z\right)^3+9x\left(-2z\right)^2+6y\left(-2z\right)^2-72xyz$

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Product of Binomials with Common TermFOIL MethodFactorFind the derivativeFind the integral

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Function Plot

Plotting: $27x^3+54x^2y-54x^2z+8y^3+36xy^2-24y^2z+\left(-2z\right)^3+9x\left(-2z\right)^2+6y\left(-2z\right)^2-72xyz$

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a
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m
n
u
v
w
x
y
z
.
(◻)
+
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◻/◻
/
÷
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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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