# Step-by-step Solution

## Expand the expression $\left(x+2\right)^2$

Go!
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### Videos

$x^2+4x+4$

## Step-by-step explanation

Problem to solve:

$\left(x+2\right)^2$
1

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: $(a+b)^2=a^2+2ab+b^2$

• Square of the first term: $\left(x\right)^2 = x^2$
• Double product of the first by the second: $2\left(x\right)\left(2\right) = 2\cdot 2x$
• Square of the second term: $\left(2\right)^2 = 2^2$

$x^2+4x+4$

$x^2+4x+4$

### Problem Analysis

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

Special products

~ 0.03 seconds