Expanding (x+8)(x+3)
To find the answer to (x+8)(x+3), we need to expand the expression. This can be done using the FOIL method, which stands for First, Outer, Inner, Last.
FOIL Method
- First: Multiply the first terms of each binomial: x * x = x²
- Outer: Multiply the outer terms of each binomial: x * 3 = 3x
- Inner: Multiply the inner terms of each binomial: 8 * x = 8x
- Last: Multiply the last terms of each binomial: 8 * 3 = 24
Now, combine the terms: x² + 3x + 8x + 24
Finally, simplify by combining like terms: x² + 11x + 24
Therefore, the answer to (x+8)(x+3) is x² + 11x + 24.