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Simplify the expression $-16\left(x^2-4\right)^2+2216x\left(x^2-4\right)x$

Step-by-step Solution

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Final answer to the problem

$2200x^{4}-8736x^2-256$
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Step-by-step Solution

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When multiplying two powers that have the same base ($x$), you can add the exponents

$-16\left(x^2-4\right)^2+2216x^2\left(x^2-4\right)$

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$-16\left(x^2-4\right)^2+2216x^2\left(x^2-4\right)$

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Learn how to solve problems step by step online. Simplify the expression -16(x^2-4)^2+2216x(x^2-4)x. When multiplying two powers that have the same base (x), you can add the exponents. Solve the product 2216x^2\left(x^2-4\right). Multiply the single term x^2 by each term of the polynomial \left(2216x^2-8864\right). When multiplying exponents with same base we can add the exponents.

Final answer to the problem

$2200x^{4}-8736x^2-256$

Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

FactorFactor by completing the squareFind the integralFind the derivativeFind -16(x^2-4)^2+2216x using the definitionSolve by quadratic formula (general formula)Find the rootsFind break even pointsFind the discriminant

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Function Plot

Plotting: $2200x^{4}-8736x^2-256$

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1
2
3
4
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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