For all x, (2x – 3)(x + 5) = ?

(2x – 3)(x + 5)

= 2x(x) + 2x(5) – 3(x) – 3(5) {used foil method}

= 2x² + 10x – 3x – 15 {multiplied through, added exponents when multiplying}

=

= 2x(x) + 2x(5) – 3(x) – 3(5) {used foil method}

= 2x² + 10x – 3x – 15 {multiplied through, added exponents when multiplying}

=

**2x² + 7x – 15**{combined like terms}*- Algebra House*