Apply Distributive Property: Apply the distributive property (also known as the FOIL method) to multiply the two binomials (x−5) and (x−8).(x−5)(x−8)=x(x)+x(−8)−5(x)−5(−8)
Perform Multiplication: Perform the multiplication for each term.x(x)=x2x(−8)=−8x−5(x)=−5x−5(−8)=40
Combine Like Terms: Combine like terms.x2−8x−5x+40x2−13x+40
Write Final Trinomial: Write the final answer as a trinomial.The product of (x−5) and (x−8) expressed as a trinomial is x2−13x+40.