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Algebra Baldor
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Solve the product power $\sqrt{\left(\frac{1}{x^2\left(a-x\right)}+\frac{-1}{a^2\left(a-x\right)}\right)\left(a+x\right)}$

Step-by-step Solution

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Solution

Final answer to the problem

$\frac{\sqrt{a^3-x^2a+a^2x-x^3}}{\sqrt{x^2a^3-x^3a^2}}$
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Step-by-step Solution

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  • Write in simplest form
  • Solve by quadratic formula (general formula)
  • Find the derivative using the definition
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  • Factor by completing the square
  • Find the roots
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1

The least common multiple (LCM) of a sum of algebraic fractions consists of the product of the common factors with the greatest exponent, and the uncommon factors

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$L.C.M.=x^2a^2\left(a-x\right)$

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Learn how to solve problems step by step online. Solve the product power ((1/(x^2(a-x))+-1/(a^2(a-x)))(a+x))^(1/2). The least common multiple (LCM) of a sum of algebraic fractions consists of the product of the common factors with the greatest exponent, and the uncommon factors. Obtained the least common multiple (LCM), we place it as the denominator of each fraction, and in the numerator of each fraction we add the factors that we need to complete. Combine and simplify all terms in the same fraction with common denominator x^2a^2\left(a-x\right). The power of a product is equal to the product of it's factors raised to the same power.

Final answer to the problem

$\frac{\sqrt{a^3-x^2a+a^2x-x^3}}{\sqrt{x^2a^3-x^3a^2}}$

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Function Plot

Plotting: $\frac{\sqrt{a^3-x^2a+a^2x-x^3}}{\sqrt{x^2a^3-x^3a^2}}$

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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
D□x
∫
∫◻
|◻|
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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