(2n+3)x(n+4)

To simplify the expression (2n+3)x(n+4), we can use the distributive property of multiplication over addition.

First, distribute the (2n+3) to both terms inside the parentheses:
(2n+3) x n + (2n+3) x 4

Next, simplify each term separately:
= (2n x n + 3 x n) + (2n x 4 + 3 x 4)

Multiply each term:
= (2n^2 + 3n) + (8n + 12)

Combine like terms:
= 2n^2 + 3n + 8n + 12

Finally, simplify further by combining like terms:
= 2n^2 + 11n + 12

So, the simplified expression is 2n^2 + 11n + 12.