Expanding the Expression (x+5)(2x3)
This expression represents the product of two binomials. To find the answer, we can use the FOIL method. FOIL stands for First, Outer, Inner, Last. This method helps us systematically multiply each term in the first binomial with each term in the second binomial.
Let's break it down stepbystep:

First: Multiply the first terms of each binomial:
 x * 2x = 2x²

Outer: Multiply the outer terms of each binomial:
 x * 3 = 3x

Inner: Multiply the inner terms of each binomial:
 5 * 2x = 10x

Last: Multiply the last terms of each binomial:
 5 * 3 = 15
Now, we combine all the terms:
2x²  3x + 10x  15
Finally, we simplify by combining like terms:
2x² + 7x  15
Therefore, the answer to (x+5)(2x3) is 2x² + 7x  15.