(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.