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

⚠ (2x-3)(2x+3) is read as (2x-3)*(2x+3): use (...)*(...) for multiplication, use (...)^(...) for a power

Let's write in expanded form:

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

ⓘ Expand by multiplying each term inside the parentheses:

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

2 \cdot x \cdot 2 \cdot x

+ 2 x \cdot 3

- 3 \cdot 2 x

- 3 \cdot 3

2 \cdot x \cdot 2 \cdot x

+ 2 x \cdot 3

- 3 \cdot 2 x

- 3 \cdot 3

ⓘ Multiplications are done before additions and subtractions:

2 \cdot 2

4

2 \cdot 3

6

3 \cdot 2

6

3 \cdot 3

9

■Multiplying powers with the same base adds the exponents:

x \cdot x

x^{2}

4 x^{2}

+ 6 x

- 6 x

- 9

ⓘ Like terms are grouped by adding their coefficients:

6 x - 6 x

0

4 x^{2} + 0 - 9

ⓘ Adding 0 changes nothing:

0 - 9

-9

▶Expanded form:

4 x^{2} - 9