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

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

Let's expand:

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

ⓘ Expand using the distributive law, multiplying each term of the sum by the other factor:

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

3 \cdot x \cdot 3 \cdot x

+ 3 x \cdot 2

- 2 \cdot 3 x

- 2 \cdot 2

3 \cdot x \cdot 3 \cdot x

+ 3 x \cdot 2

- 2 \cdot 3 x

- 2 \cdot 2

ⓘ Multiplications are done before additions and subtractions:

3 \cdot 3

9

2 \cdot 2

4

■To multiply powers with the same base, add their exponents:

x \cdot x

x^{2}

■Perform multiplications before additions and subtractions:

3 \cdot 2

6

2 \cdot 3

6

9 x^{2}

+ 6 x

- 6 x

- 4

ⓘ Group like terms by adding their coefficients:

6 x - 6 x

0

9 x^{2} + 0 - 4

ⓘ Adding 0 changes nothing:

0 - 4

-4

▶Expanded form:

9 x^{2} - 4