Question

10 expand and simplify f) (6 - 5n)(-6 + 5n)

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply each term in the first binomial by each term in the second binomial:
\((6 - 5n)(-6 + 5n)=6\times(-6)+6\times(5n)+(-5n)\times(-6)+(-5n)\times(5n)\)

Step2: Calculate each product

\(6\times(-6)= - 36\), \(6\times(5n)=30n\), \((-5n)\times(-6)=30n\), \((-5n)\times(5n)=-25n^{2}\)

Step3: Combine like terms

Combine the \(n\) terms: \(30n + 30n=60n\)
So the expression becomes \(-36 + 60n-25n^{2}\) or \(-25n^{2}+60n - 36\)

Answer:

\(-25n^{2}+60n - 36\)