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Expand the expression $\left(2x+3y+4z\right)^3$

Step-by-step Solution

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Final answer to the problem

$8x^3+36x^2y+48x^2z+27y^3+54xy^2+108y^2z+64z^3+96xz^2+144yz^2+144xyz$
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Step-by-step Solution

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Expand the cube of a trinomial

$\left(2x\right)^3+3\cdot 3\left(2x\right)^2y+3\cdot 4\left(2x\right)^2z+\left(3y\right)^3+3\cdot 2x\left(3y\right)^2+3\cdot 4\left(3y\right)^2z+\left(4z\right)^3+3\cdot 2x\left(4z\right)^2+3\cdot 3y\left(4z\right)^2+6\cdot 2\cdot 3\cdot 4xyz$

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

$\left(2x\right)^3+3\cdot 3\left(2x\right)^2y+3\cdot 4\left(2x\right)^2z+\left(3y\right)^3+3\cdot 2x\left(3y\right)^2+3\cdot 4\left(3y\right)^2z+\left(4z\right)^3+3\cdot 2x\left(4z\right)^2+3\cdot 3y\left(4z\right)^2+6\cdot 2\cdot 3\cdot 4xyz$

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Learn how to solve special products problems step by step online. Expand the expression (2x+3y4z)^3. Expand the cube of a trinomial. Multiply 3 times 3. Multiply 3 times 4. Multiply 3 times 2.

Final answer to the problem

$8x^3+36x^2y+48x^2z+27y^3+54xy^2+108y^2z+64z^3+96xz^2+144yz^2+144xyz$

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Product of Binomials with Common TermFOIL MethodFactorFind the derivativeFind the integral

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Function Plot

Plotting: $8x^3+36x^2y+48x^2z+27y^3+54xy^2+108y^2z+64z^3+96xz^2+144yz^2+144xyz$

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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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