Question

Find the product. $$ \left(n+\frac{6}{5}\right)(4 n-10) $$

Short answer

The simplified form of the expression is \(4n^2 + \frac{2n}{5} - 12\).

Step-by-step solution

Apply the distributive property

Firstly, distribute \(n\) from the first bracket to each term in the second bracket. Then distribute \(\frac{6}{5}\) (from the first bracket) to each term in the second bracket. This gives you:\(4n^2 - 10n + \frac{24n}{5} - 12\)

Simplify the expression

Next, combine like terms. The like terms in this equation are the terms that involve \(n\).When we add \(-10n\) and \(\frac{24n}{5}\), we get \(\frac{2n}{5}\). Therefore, our expression simplifies to: \(4n^2 + \frac{2n}{5} - 12\).