MULTIPLY: k+3/4k-2 x (12k^2-3)
First, distribute the term \( k+3/(4k-2) \) to the terms within the parentheses:
\( (k+3/(4k-2)) \times (12k^2-3) \)
= \( k(12k^2-3) + 3/(4k-2) \times (12k^2-3) \)
= \( 12k^3 - 3k + 3/(4k-2) \times (12k^2-3) \)
Next, simplify the term \( 3/(4k-2) \times (12k^2-3) \):
= \( 3(12k^2-3)/(4k-2) \)
Distribute 3:
= \( 36k^2 - 9 \) / (4k-2)
Our final answer is:
\( 12k^3 - 3k + 36k^2 - 9 / 4k-2 \)