Question

Expand and simplify (f+4) (f+1) full answer

Answer 1

To expand and simplify (f+4)(f+1), use the FOIL method, resulting in f^2 + f + 4f + 4. Combine like terms to get f^2 + 5f + 4 as the simplified expression.

Step-by-step explanation:

To expand and simplify the expression (f+4)(f+1), we use the FOIL method, which stands for First, Outer, Inner, Last, referring to the terms of the binomials being multiplied.

1. First: Multiply the first terms of each binomial, f and f, to get f².
2. Outer: Multiply the outer terms, f and 1, to get f.
3. Inner: Multiply the inner terms, 4 and f, to get 4f.
4. Last: Multiply the last terms of each binomial, 4 and 1, to get 4.

Combining these results, we have f² + f + 4f + 4. Next, combine like terms: f and 4f are like terms, which add up to 5f. This gives us f² + 5f + 4 as the simplified form.