$f\left(x\right)=\left(x^2-8\right)\left(x^2+6\right)$

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Final answer to the problem

$f\left(x\right)=x^{4}-2x^2-48$
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Apply the formula: $\left(x+a\right)\left(x+b\right)$$=x^2+\left(a+b\right)x+ab$, where $a=-8$, $b=6$, $x=x^2$, $x+b=x^2+6$ and $x+a=x^2-8$

$f\left(x\right)=\left(x^2\right)^2+\left(-8+6\right)x^2-8\cdot 6$

Learn how to solve espressioni algebriche problems step by step online.

$f\left(x\right)=\left(x^2\right)^2+\left(-8+6\right)x^2-8\cdot 6$

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Learn how to solve espressioni algebriche problems step by step online. f(x)=(x^2-8)(x^2+6). Apply the formula: \left(x+a\right)\left(x+b\right)=x^2+\left(a+b\right)x+ab, where a=-8, b=6, x=x^2, x+b=x^2+6 and x+a=x^2-8. Apply the formula: a+b=a+b, where a=6, b=-8 and a+b=-8+6. Apply the formula: ab=ab, where ab=-8\cdot 6, a=-8 and b=6. Simplify \left(x^2\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals 2.

Final answer to the problem

$f\left(x\right)=x^{4}-2x^2-48$

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Function Plot

Plotting: $f\left(x\right)-\left(x^2-8\right)\left(x^2+6\right)$

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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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