The expression (2x+5)(3x+1) is a product of two binomials. To expand this product, we multiply each term in the first binomial by each term in the second binomial, using the distributive property of multiplication.
When we multiply 2x by 3x, we get 6x^2.
Then we multiply 2x by 1, which gives us 2x.
Next, we multiply 5 by 3x, which gives us 15x.
Finally, we multiply 5 by 1, which gives us 5.
Putting these terms together gives us the expanded form of the expression:
(2x+5)(3x+1) = 6x^2 + 2x + 15x + 5
Simplifying, we can add the 2x and 15x terms to get 17x, giving us the final simplified expression:
(2x+5)(3x+1) = 6x^2 + 17x + 5.