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# Factor the expression $x^2+4x+4$

## Step-by-step Solution

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###  Videos

$\left(x+2\right)^{2}$
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##  Step-by-step Solution 

Specify the solving method

1

The trinomial $x^2+4x+4$ is a perfect square trinomial, because it's discriminant is equal to zero

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

Using the perfect square trinomial formula

$a^2+2ab+b^2=(a+b)^2,\:where\:a=\sqrt{x^2}\:and\:b=\sqrt{4}$
3

Factoring the perfect square trinomial

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

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

##  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

SimplifyFactorFactor by completing the squareFind the integralFind the derivativeFind x^2+4x using the definitionSolve by quadratic formula (general formula)Find the rootsFind break even pointsFind the discriminant

SnapXam A2

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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

### Main Topic: Polynomial Factorization

They are a group of techniques that help us rewrite polynomial expressions as a product of factors.