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}

■The minus sign is placed in front of the product:

x \cdot (-2)

- 2 x

x^{2}

- 2 x

+ x

- 2

ⓘ Like terms are grouped by adding their coefficients:

- 2 x + x

- x

▶Expanded form:

x^{2} - x - 2