Question

on 4: schoology staar practice\
possible points: 2\
which expression is equivalent to \\(\left(2k^{2}-3m\
ight)\left(3k - 4\
ight)\\)?\
\\(\circ\\ 6k^{3}-8k^{2}-9km + 12m\\)\
\\(\circ\\ 6k^{3}+12m\\)\
\\(\circ\\ -2k^{3}+3km\\)\
\\(\circ\\ -2k^{2}-9km - 12m\\)

Explanation:

Step1: Apply distributive property (FOIL)

Multiply \(2k^2\) with each term in \((3k - 4)\) and \(-3m\) with each term in \((3k - 4)\):
\(2k^2 \times 3k = 6k^3\), \(2k^2 \times (-4) = -8k^2\), \(-3m \times 3k = -9km\), \(-3m \times (-4) = 12m\).

Step2: Combine terms

Combine the results: \(6k^3 - 8k^2 - 9km + 12m\).

Answer:

\(6k^3 - 8k^2 - 9km + 12m\) (the first option)