expand (2*x-3)*(x+4) — step-by-step solution

Let's write in expanded form:

(2 x - 3) \cdot (x + 4)

ⓘ Expand by multiplying each term inside the parentheses:

(2 x - 3) \cdot (x + 4)

2 \cdot x \cdot x

+ 2 x \cdot 4

- 3 x

- 3 \cdot 4

2 \cdot x \cdot x

+ 2 x \cdot 4

- 3 x

- 3 \cdot 4

ⓘ Multiplying powers with the same base adds the exponents:

x \cdot x

x^{2}

■Multiplications are done before additions and subtractions:

2 \cdot 4

8

3 \cdot 4

12

2 x^{2}

+ 8 x

- 3 x

- 12

ⓘ Like terms are grouped by adding their coefficients:

8 x - 3 x

5 x

▶Expanded form:

2 x^{2} + 5 x - 12