expand (x-2)(x+5) — step-by-step solution

⚠ (x-2)(x+5) is read as (x-2)*(x+5): use (...)*(...) for multiplication, use (...)^(...) for a power

Let's expand:

(x - 2) \cdot (x + 5)

ⓘ Expand by multiplying each term inside the parentheses:

(x - 2) \cdot (x + 5)

x \cdot x

+ x \cdot 5

- 2 x

- 2 \cdot 5

x \cdot x

+ x \cdot 5

- 2 x

- 2 \cdot 5

ⓘ Multiplying powers with the same base adds the exponents:

x \cdot x

x^{2}

■Like terms are grouped by adding their coefficients:

x \cdot 5 - 2 x

3 x

■Multiplications are done before additions and subtractions:

2 \cdot 5

10

▶Expanded form:

x^{2} + 3 x - 10