Answer & Step-by-step explanation:
To multiply these two binomials, we can use the distributive property as follows:
(2x+5)(3x+1) = 2x(3x+1) + 5(3x+1)
Now, we can simplify each term:
2x(3x+1) = 6x^2 + 2x
5(3x+1) = 15x + 5
Putting these back together, we get:
(2x+5)(3x+1) = 6x^2 + 2x + 15x + 5
Simplifying the middle two terms, we get:
(2x+5)(3x+1) = 6x^2 + 17x + 5
Therefore, the expression that is equivalent to (2x+5)(3x+1) is 6x^2 + 17x + 5.
Hope it helps!