Calculate: (5x-1) \times (2x-3)

Expression: $\left( 5x-1 \right) \times \left( 2x-3 \right)$

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

$5x \times 2x-5x \times 3-2x-1 \times \left( -3 \right)$

Calculate the product

$10{x}^{2}-5x \times 3-2x-1 \times \left( -3 \right)$

Calculate the product

$10{x}^{2}-15x-2x-1 \times \left( -3 \right)$

Any expression multiplied by $-1$ equals its opposite

$10{x}^{2}-15x-2x+3$

Collect like terms

$10{x}^{2}-17x+3$