Apply Distributive Property: Apply the distributive property (also known as the FOIL method) to multiply the two binomials (2x−2) and (2x+7).(2x−2)(2x+7)=2x(2x)+2x(7)−2(2x)−2(7)
Perform Multiplication: Perform the multiplication for each term.2x(2x)=4x22x(7)=14x−2(2x)=−4x−2(7)=−14
Combine Like Terms: Combine like terms.4x2+14x−4x−14= 4x2+(14x−4x)−14= 4x2+10x−14