expand (x+3)^2 — step-by-step solution

Let's write in expanded form:

{(x + 3)}^{2}

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

{(x + 3)}^{2}

(x + 3) \cdot (x + 3)

(x + 3) \cdot (x + 3)

ⓘ Expand by multiplying each term inside the parentheses:

(x + 3) \cdot (x + 3)

x \cdot x

+ x \cdot 3

+ 3 x

+ 3 \cdot 3

x \cdot x

+ x \cdot 3

+ 3 x

+ 3 \cdot 3

ⓘ Multiplying powers with the same base adds the exponents:

x \cdot x

x^{2}

■Like terms are grouped by adding their coefficients:

x \cdot 3 + 3 x

6 x

■Multiplications are done before additions and subtractions:

3 \cdot 3

9

▶Expanded form:

x^{2} + 6 x + 9