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# Factor the expression $x^2-2x+1$

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##  Final answer to the problem

$2x-2$
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##  Step-by-step Solution 

How should I solve this problem?

• Find the derivative using the definition
• Integrate by partial fractions
• Product of Binomials with Common Term
• FOIL Method
• Integrate by substitution
• Integrate by parts
• Integrate using tabular integration
• Integrate by trigonometric substitution
• Weierstrass Substitution
• Prove from LHS (left-hand side)
Can't find a method? Tell us so we can add it.
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Find the derivative of $x^2-2x+1$ using the definition. Apply the definition of the derivative: $\displaystyle f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}$. The function $f(x)$ is the function we want to differentiate, which is $x^2-2x+1$. Substituting $f(x+h)$ and $f(x)$ on the limit, we get

$\lim_{h\to0}\left(\frac{\left(x+h\right)^2-2\left(x+h\right)+1-\left(x^2-2x+1\right)}{h}\right)$

Learn how to solve definition of derivative problems step by step online.

$\lim_{h\to0}\left(\frac{\left(x+h\right)^2-2\left(x+h\right)+1-\left(x^2-2x+1\right)}{h}\right)$

Learn how to solve definition of derivative problems step by step online. Factor the expression x^2-2x+1. Find the derivative of x^2-2x+1 using the definition. Apply the definition of the derivative: \displaystyle f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}. The function f(x) is the function we want to differentiate, which is x^2-2x+1. Substituting f(x+h) and f(x) on the limit, we get. Expand the expression \left(x+h\right)^2 using the square of a binomial: (a+b)^2=a^2+2ab+b^2. Multiply the single term -2 by each term of the polynomial \left(x+h\right). Solve the product -\left(x^2-2x+1\right).

##  Final answer to the problem

$2x-2$

##  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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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
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: Definition of Derivative

Resolution of derivatives using the definition of the derivative, which is the limit of difference quotients of real numbers.