Question

simplify the expression.
\\(\frac{2}{5}(6 - 5p) = square\\)

Explanation:

Step1: Apply distributive property

Use the distributive property \( a(b - c) = ab - ac \), here \( a=\frac{2}{5} \), \( b = 6 \), \( c=5p \). So we have \( \frac{2}{5}\times6-\frac{2}{5}\times5p \).

Step2: Calculate each term

Calculate \( \frac{2}{5}\times6=\frac{12}{5} \) and \( \frac{2}{5}\times5p = 2p \) (since \( \frac{2}{5}\times5 = 2 \)).

Step3: Combine the terms

Combine the two terms to get \( \frac{12}{5}-2p \).

Answer:

\(\frac{12}{5} - 2p\)