Etta W. answered 06/17/20
experienced math tutor for all ages
When multiplying two binomials, we are actually using the distributive property twice.
The FOIL method is one way of remembering the steps.
First Outer Inner Last
The first terms of the two binomials are 2x and 2x.
The outer terms are 2x and 7.
The inner terms are -3 and 2x.
The last terms are -3 and 7.
(2x)(2x) + (2x)(7) + (-3)(2x) + (-3)(7)
4x^2 +14x -6x -21
Next combine like terms.
4x^2 + 8x -21