expand (x+1)(x+2) — step-by-step solution

⚠ (x+1)(x+2) is read as (x+1)*(x+2): use (...)*(...) for multiplication, use (...)^(...) for a power

Let's expand:

(x + 1) \cdot (x + 2)

ⓘ Expand by multiplying each term inside the parentheses:

(x + 1) \cdot (x + 2)

x \cdot x

+ x \cdot 2

+ 1 \cdot x

+ 1 \cdot 2

x \cdot x

+ x \cdot 2

+ 1 \cdot x

+ 1 \cdot 2

ⓘ Multiplying powers with the same base adds the exponents:

x \cdot x

x^{2}

x^{2}

+ x \cdot 2

+ x

+ 2

ⓘ Like terms are grouped by adding their coefficients:

x \cdot 2 + x

3 x

▶Expanded form:

x^{2} + 3 x + 2