# Step-by-step Solution

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
|◻|
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

## Step-by-step explanation

Problem to solve:

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

Learn how to solve special products problems step by step online.

$x^{4}+2x^2\left(2x+2\right)+\left(2x+2\right)^2$

Learn how to solve special products problems step by step online. Expand the expression (x^2+2x+2)^2. A binomial squared (sum) is equal to the square of the first term, plus the double product of the first by the second, plus the square of the second term. In other words: (a+b)^2=a^2+2ab+b^2<ul><li>Square of the first term: \left(x^2\right)^2 = \left(x^2\right)^2</li><li>Double product of the first by the second: 2\left(x^2\right)\left(2x+2\right) = 2x^2\left(2x+2\right)</li><li>Square of the second term: \left(2x+2\right)^2 = \left(2x+2\right)^2</li></ul>. Expand \left(2x+2\right)^2. Solve the product 2x^2\left(2x+2\right). Multiplying polynomials x^2 and 4x+4.

$8x^2+x^{4}+4x^{3}+8x+4$

### Problem Analysis

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

Special products

~ 0.05 seconds