To find the product of (b+3)(b+7) using the FOIL Method, multiply the first terms, then the outer, inner, and last terms, and combine them to have b² + 10b + 21. Simplify by combining like terms.
To use the FOIL Method to find the product of (b+3)(b+7), we multiply the terms in the following way:
- First, multiply the first terms in each binomial: b × b = b².
- Outside, multiply the outer terms: b × 7 = 7b.
- Inside, multiply the inner terms: 3 × b = 3b.
- Last, multiply the last terms in each binomial: 3 × 7 = 21.
Combine all the products: b² + 7b + 3b + 21. Now, simplify the like terms:
b² + 10b + 21
Always check to see if the result is reasonable and eliminate terms wherever possible to simplify the algebra.