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Simplify $\frac{1}{x^2-4x+4}-\frac{1}{4}$

Step-by-step Solution

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Final Answer

$\frac{-0.25x^2+x}{x^2-4x+4}$
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Step-by-step Solution

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Combine $\frac{1}{x^2-4x+4}-0.25$ in a single fraction

$\frac{1-0.25\left(x^2-4x+4\right)}{x^2-4x+4}$

Learn how to solve integral calculus problems step by step online.

$\frac{1-0.25\left(x^2-4x+4\right)}{x^2-4x+4}$

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Learn how to solve integral calculus problems step by step online. Simplify 1/(x^2-4x+4)-1/4. Combine \frac{1}{x^2-4x+4}-0.25 in a single fraction. Multiply the single term -\frac{1}{4} by each term of the polynomial \left(x^2-4x+4\right). Multiply -4 times -0.25. Multiply 4 times -0.25.

Final Answer

$\frac{-0.25x^2+x}{x^2-4x+4}$

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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

SimplifyWrite in simplest formFactorFactor by completing the squareFind the integralFind the derivativeFind 1/(x^2+-4x)-0.25 using the definitionSolve by quadratic formula (general formula)Find the rootsFind break even pointsFind the discriminant

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Function Plot

Plotting: $\frac{-0.25x^2+x}{x^2-4x+4}$

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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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Main Topic: Integral Calculus

Integration assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.

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