Apply Distributive Property: Apply the distributive property (also known as the FOIL method) to multiply the two binomials (2x+4) and (2x−6). First, multiply the first terms in each binomial: 2x×2x=4x2.
Multiply First Terms: Multiply the outer terms: 2x×−6=−12x.
Multiply Outer Terms: Multiply the inner terms: 4×2x=8x.
Multiply Inner Terms: Multiply the last terms in each binomial: 4×−6=−24.
Multiply Last Terms: Combine the like terms from the products of the outer and inner terms: −12x+8x=−4x.
Combine Like Terms: Add all the terms together to form the trinomial: 4x2−4x−24.