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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

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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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  • Choose an option
  • Write in simplest form
  • Solve by quadratic formula (general formula)
  • Find the derivative using the definition
  • Simplify
  • Find the integral
  • Find the derivative
  • Factor
  • Factor by completing the square
  • Find the roots
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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

Learn how to solve sum rule of differentiation problems step by step online.

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

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Learn how to solve sum rule of differentiation 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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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

How to improve your answer:

Similar Problems Solved

$\frac{d}{dx}\left(2x+1\right)^3$

$\frac{d}{dx}\left(\sqrt{\frac{x\left(x+2\right)}{\left(2x+1\right)\left(5x+3\right)}}\right)$

$\frac{d}{dx}\left(\arcsin\left(1-2x^2\right)\right)$

$\frac{d}{dx}\left(\sqrt{x+1}\right)$

$\frac{d}{dx}\left(x\sqrt{x^2+1}\right)$

Find the derivative

$\frac{d}{dx}\left(x^2+y^2\right)$

Find the derivative

$\frac{d}{dx}\left(x-2^{4x}\right)$

Main Topic: Sum Rule of Differentiation

The sum rule is a method to find the derivative of a function that is the sum of two or more functions.

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