Answer: 8x² + 2x - 15
Step-by-step explanation: So to multiply these two binomials together, let's use the F.O.I.L. method.
The product of the first terms is (2x)(4x) or 8x².
The product of the outer terms is (2x)(-5) or -10x.
The product of the inner terms is (3)(4x) or +12x.
The product of the last terms is (3)(-5) or -15.
So we have 8x² - 10x + 12x - 15.
Notice that -10x + 12x simplifies to +2x.
So we have 8x² + 2x - 15 as our final answer.
