Calculate: (3x-2)^2

Expression: ${\left( 3x-2 \right)}^{2}$

Write as a product

$\left( 3x-2 \right) \times \left( 3x-2 \right)$

Multiply each term in the first parentheses by each term in the second parentheses (FOIL)

$3x \times 3x-3x \times 2-2 \times 3x-2 \times \left( -2 \right)$

Calculate the product

$9{x}^{2}-3x \times 2-2 \times 3x-2 \times \left( -2 \right)$

Calculate the product

$9{x}^{2}-6x-2 \times 3x-2 \times \left( -2 \right)$

Calculate the product

$9{x}^{2}-6x-6x-2 \times \left( -2 \right)$

Multiply the numbers

$9{x}^{2}-6x-6x+4$

Collect like terms

$9{x}^{2}-12x+4$