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

Let's expand:

(x + 2) \cdot (x + 3)

ⓘ Expand by multiplying each term inside the parentheses:

(x + 2) \cdot (x + 3)

x \cdot x

+ x \cdot 3

+ 2 x

+ 2 \cdot 3

x \cdot x

+ x \cdot 3

+ 2 x

+ 2 \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 + 2 x

5 x

■Multiplications are done before additions and subtractions:

2 \cdot 3

6

▶Expanded form:

x^{2} + 5 x + 6