Expanding (x + 5)(x + 8)
This expression represents the multiplication of two binomials: (x + 5) and (x + 8). To find the answer, we can use the FOIL method:
First: Multiply the first terms of each binomial.
x * x = x²
Outer: Multiply the outer terms of the binomials.
x * 8 = 8x
Inner: Multiply the inner terms of the binomials.
5 * x = 5x
Last: Multiply the last terms of each binomial.
5 * 8 = 40
Now, add all the results together:
x² + 8x + 5x + 40
Finally, combine the like terms:
x² + 13x + 40
Therefore, the expanded form of (x + 5)(x + 8) is x² + 13x + 40.