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

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Final answer to the problem

$x^3+6x^2y+12x^2+8y^3+12xy^2+48y^2+64+48x+96y+48xy$
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Step-by-step Solution

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Expand the cube of a trinomial

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

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

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

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

Final answer to the problem

$x^3+6x^2y+12x^2+8y^3+12xy^2+48y^2+64+48x+96y+48xy$

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Product of Binomials with Common TermFOIL MethodFactorFind the derivativeFind the integral

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Function Plot

Plotting: $x^3+6x^2y+12x^2+8y^3+12xy^2+48y^2+64+48x+96y+48xy$

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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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