expand (x+2)^2 — step-by-step solution

Let's expand:

{(x + 2)}^{2}

ⓘ Raising a sum to an integer power is multiplying it by itself:

{(x + 2)}^{2}

(x + 2) \cdot (x + 2)

(x + 2) \cdot (x + 2)

ⓘ Expand by multiplying each term inside the parentheses:

(x + 2) \cdot (x + 2)

x \cdot x

+ x \cdot 2

+ 2 x

+ 2 \cdot 2

x \cdot x

+ x \cdot 2

+ 2 x

+ 2 \cdot 2

ⓘ Multiplying powers with the same base adds the exponents:

x \cdot x

x^{2}

■Like terms are grouped by adding their coefficients:

x \cdot 2 + 2 x

4 x

■Multiplications are done before additions and subtractions:

2 \cdot 2

4

▶Expanded form:

x^{2} + 4 x + 4