expand (x+4)^2 — step-by-step solution

Let's write in expanded form:

{(x + 4)}^{2}

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

{(x + 4)}^{2}

(x + 4) \cdot (x + 4)

(x + 4) \cdot (x + 4)

ⓘ Expand by multiplying each term inside the parentheses:

(x + 4) \cdot (x + 4)

x \cdot x

+ x \cdot 4

+ 4 x

+ 4 \cdot 4

x \cdot x

+ x \cdot 4

+ 4 x

+ 4 \cdot 4

ⓘ Multiplying powers with the same base adds the exponents:

x \cdot x

x^{2}

■Like terms are grouped by adding their coefficients:

x \cdot 4 + 4 x

8 x

■Multiplications are done before additions and subtractions:

4 \cdot 4

16

▶Expanded form:

x^{2} + 8 x + 16