Simplify the expression $f\left(x\right)=\frac{x^2-1}{\left(x+1\right)^2}$

Step-by-step Solution

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Final answer to the problem

$f\left(x\right)=\frac{x-1}{x+1}$
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Step-by-step Solution

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Simplify $\sqrt{x^2}$ 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 $\frac{1}{2}$

Learn how to solve special products problems step by step online.

$f\left(x\right)=\frac{\left(x+\sqrt{1}\right)\left(\sqrt{x^2}-\sqrt{1}\right)}{\left(x+1\right)^2}$

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Learn how to solve special products problems step by step online. Simplify the expression f(x)=(x^2-1)/((x+1)^2). Simplify \sqrt{x^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 \frac{1}{2}. Calculate the power \sqrt{1}. Simplify \sqrt{x^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 \frac{1}{2}. Calculate the power \sqrt{1}.

Final answer to the problem

$f\left(x\right)=\frac{x-1}{x+1}$

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Function Plot

Plotting: $f\left(x\right)+\frac{-x^2+1}{\left(x+1\right)^2}$

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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
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

How to improve your answer:

Main Topic: Special Products

Special products is the multiplication of algebraic expressions that follow certain rules and patterns, so you can predict the result without necessarily doing the multiplication.

Used Formulas

See formulas (1)

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