Expanding (x+4)(x+10)
This expression represents the multiplication of two binomials: (x+4) and (x+10). To find the answer, we can use the FOIL method, which stands for First, Outer, Inner, Last.
Here's how it works:

First: Multiply the first terms of each binomial: x * x = x²

Outer: Multiply the outer terms of the binomials: x * 10 = 10x

Inner: Multiply the inner terms of the binomials: 4 * x = 4x

Last: Multiply the last terms of each binomial: 4 * 10 = 40
Now, combine all the terms:
x² + 10x + 4x + 40
Finally, simplify by combining the like terms:
x² + 14x + 40
Therefore, the expanded form of (x+4)(x+10) is x² + 14x + 40.