(2x+3)(x+5)
To expand the expression (2x+3)(x+5), we will use the distributive property which states that for any numbers a, b, and c:
(a + b)(c) = a(c) + b(c)
Using this property, we can expand the expression:
(2x + 3)(x + 5) =
2x(x) + 3(x) + 2x(5) + 3(5) =
2x^2 + 3x + 10x + 15 =
2x^2 + 13x + 15
Therefore, (2x+3)(x+5) = 2x^2 + 13x + 15.