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

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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Apply the formula: $\left(a+b+c\right)^3$$=a^3+3a^2b+3a^2c+b^3+3ab^2+3b^2c+c^3+3ac^2+3bc^2+6abc$, where $a=5x^4$, $b=3x^2$ and $c=-4$

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

Learn how to solve expressions algébriques 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 expressions algébriques problems step by step online. f(x)=(5x^4+3x^2+-4)^3. Apply the formula: \left(a+b+c\right)^3=a^3+3a^2b+3a^2c+b^3+3ab^2+3b^2c+c^3+3ac^2+3bc^2+6abc, where a=5x^4, b=3x^2 and c=-4. Apply the formula: x^mx^n=x^{\left(m+n\right)}, where m=4 and n=2. Apply the formula: \left(ab\right)^n=a^nb^n, where a=3, b=x^2 and n=2. Apply the formula: \left(ab\right)^n=a^nb^n.

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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5
6
7
8
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: Expressions algébriques

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