Question

Find the product. Simplify your answer. (2t+2)(4t+3) Submit

Answer 1

The product of the binomials (2t+2) and (4t+3) is calculated by using the FOIL method (First, Outer, Inner, Last), yielding 8t^2 + 14t + 6.

Step-by-step explanation:

To find the product of two binomials like (2t+2) and (4t+3), we can apply the distributive property, also known as the FOIL method. FOIL stands for 'First, Outer, Inner, Last'.

• First: Multiply the first terms in each binomial: 2t * 4t = 8t^2.
• Outer: Then the outer terms: 2t * 3 = 6t.
• Inner: Followed by the inner terms: 2 * 4t = 8t.
• Last: Finally the last terms in each binomial: 2 * 3 = 6.

Then combine like terms: 8t^2 + 6t + 8t + 6 = 8t^2 + 14t + 6.

So, the product of (2t + 2) and (4t + 3) is 8t^2 + 14t + 6.

Learn more about Multiplying Binomials