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

Step-by-step Solution

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Final answer to the problem

$f\left(x\right)=\left(x+1\right)^{2}$
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Step-by-step Solution

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  • Write in simplest form
  • Solve by quadratic formula (general formula)
  • Find the derivative using the definition
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  • Factor by completing the square
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The trinomial $x^2+2x+1$ is a perfect square trinomial, because it's discriminant is equal to zero

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$\Delta=b^2-4ac=2^2-4\left(1\right)\left(1\right) = 0$

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Learn how to solve algebraic expressions problems step by step online. Simplify the expression f(x)=x^2+2x+1. The trinomial x^2+2x+1 is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial.

Final answer to the problem

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

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Function Plot

Plotting: $f\left(x\right)-x^2-2x-1$

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Answer Assistant

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Go!
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

How to improve your answer:

Main Topic: Algebraic expressions

An algebraic expression is a group of terms that are separated by $+$ or $-$ signs.

Used Formulas

See formulas (1)

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