Simplify the expression $f\left(x\right)=\left(5x^4+3x^2-4\right)^3$

Step-by-step Solution

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Final answer to the problem

$f\left(x\right)=125x^{12}+225x^{10}-165x^{8}-333x^{6}+132x^4-64+144x^2$
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Step-by-step Solution

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1

Expand the cube of a trinomial

$f\left(x\right)=\left(5x^4\right)^3+9\left(5x^4\right)^2x^2-12\left(5x^4\right)^2+\left(3x^2\right)^3+15x^4\left(3x^2\right)^2-12\left(3x^2\right)^2-64+240x^4+144x^2-360x^4x^2$

Learn how to solve algebraic expressions problems step by step online.

$f\left(x\right)=\left(5x^4\right)^3+9\left(5x^4\right)^2x^2-12\left(5x^4\right)^2+\left(3x^2\right)^3+15x^4\left(3x^2\right)^2-12\left(3x^2\right)^2-64+240x^4+144x^2-360x^4x^2$

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Learn how to solve algebraic expressions problems step by step online. Simplify the expression f(x)=(5x^4+3x^2+-4)^3. Expand the cube of a trinomial. When multiplying exponents with same base we can add the exponents. The power of a product is equal to the product of it's factors raised to the same power. The power of a product is equal to the product of it's factors raised to the same power.

Final answer to the problem

$f\left(x\right)=125x^{12}+225x^{10}-165x^{8}-333x^{6}+132x^4-64+144x^2$

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Function Plot

Plotting: $f\left(x\right)-\left(5x^4+3x^2-4\right)^3$

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7
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9
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

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Main Topic: Algebraic expressions

An algebraic expression is a group of terms that are separated by $+$ or $-$ signs.

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