Apply Distributive Property: Apply the distributive property (also known as the FOIL method) to multiply the two binomials (2x+2) and (3x−2).(2x+2)(3x−2)=2x(3x)+2x(−2)+2(3x)+2(−2)
Multiply Binomials: Multiply each term in the first binomial by each term in the second binomial.2x(3x)=6x22x(−2)=−4x2(3x)=6x2(−2)=−4
Combine Like Terms: Combine like terms.6x2+(−4x)+6x+(−4)=6x2+2x−4