$f\left(x\right)=\left(8x^2-3x+2\right)^3$

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Final answer to the problem

$f\left(x\right)=512x^{6}-576x^{5}+384x^{4}+\left(-3x\right)^3+24x^2\left(-3x\right)^2+6\left(-3x\right)^2+8+96x^2-36x-288x^{3}$
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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 $a=8x^2$, $b=-3x$ and $c=2$

$f\left(x\right)=\left(8x^2\right)^3-9\left(8x^2\right)^2x+6\left(8x^2\right)^2+\left(-3x\right)^3+24x^2\left(-3x\right)^2+6\left(-3x\right)^2+8+96x^2-36x-288x^2x$

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

$f\left(x\right)=\left(8x^2\right)^3-9\left(8x^2\right)^2x+6\left(8x^2\right)^2+\left(-3x\right)^3+24x^2\left(-3x\right)^2+6\left(-3x\right)^2+8+96x^2-36x-288x^2x$

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Learn how to solve expressions algébriques problems step by step online. f(x)=(8x^2-3x+2)^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=8x^2, b=-3x and c=2. Apply the formula: x\cdot x^n=x^{\left(n+1\right)}, where x^nx=-288x^2x, x^n=x^2 and n=2. Apply the formula: \left(ab\right)^n=a^nb^n. Apply the formula: ab=ab, where ab=-9\cdot 64x^{4}x, a=-9 and b=64.

Final answer to the problem

$f\left(x\right)=512x^{6}-576x^{5}+384x^{4}+\left(-3x\right)^3+24x^2\left(-3x\right)^2+6\left(-3x\right)^2+8+96x^2-36x-288x^{3}$

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Function Plot

Plotting: $f\left(x\right)-\left(8x^2-3x+2\right)^3$

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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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