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# Simplify the expression $\frac{x^2}{2-x}$

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asinh
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asech
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##  Final answer to the problem

$-x-2+\frac{4}{2-x}$
Got another answer? Verify it here!

##  Step-by-step Solution 

How should I solve this problem?

• 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
Can't find a method? Tell us so we can add it.
1

Divide $x^2$ by $2-x$

$\begin{array}{l}\phantom{-x\phantom{;}+2;}{-x\phantom{;}-2\phantom{;}\phantom{;}}\\-x\phantom{;}+2\overline{\smash{)}\phantom{;}x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x\phantom{;}+2;}\underline{-x^{2}+2x\phantom{;}\phantom{-;x^n}}\\\phantom{-x^{2}+2x\phantom{;};}\phantom{;}2x\phantom{;}\phantom{-;x^n}\\\phantom{-x\phantom{;}+2-;x^n;}\underline{-2x\phantom{;}+4\phantom{;}\phantom{;}}\\\phantom{;-2x\phantom{;}+4\phantom{;}\phantom{;}-;x^n;}\phantom{;}4\phantom{;}\phantom{;}\\\end{array}$
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Resulting polynomial

$-x-2+\frac{4}{2-x}$

##  Final answer to the problem

$-x-2+\frac{4}{2-x}$

##  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

SnapXam A2

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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

###  Main Topic: Simplification of algebraic fractions

Simplification or reduction of algebraic fractions is the action of dividing the numerator and denominator of a fraction by a common factor in order to obtain another much simpler equivalent fraction. We can say that a fraction is reduced to its simplest when there is no common factor between the numerator and the denominator.