Question

what is the product? 3a(8a - 6b) \
ewline \bigcirc 24a^2 - 6b \bigcirc 24a^2 - 6ab \bigcirc 24a^2 - 18b^2 \bigcirc 24a^2 - 18ab

Explanation:

Step1: Apply Distributive Property

Use the distributive property \(a(b - c)=ab - ac\) to \(3a(8a - 6b)\). Multiply \(3a\) with \(8a\) and \(3a\) with \(-6b\) separately.
For \(3a\times8a\): Multiply the coefficients \(3\times8 = 24\) and the variables \(a\times a=a^{2}\), so \(3a\times8a = 24a^{2}\).
For \(3a\times(-6b)\): Multiply the coefficients \(3\times(-6)=-18\) and the variables \(a\times b = ab\), so \(3a\times(-6b)=-18ab\).

Step2: Combine the Results

Combine the two results from Step 1: \(24a^{2}-18ab\).

Answer:

\(24a^{2}-18ab\) (the last option among the given choices)