Question

Divide 6k2-15-5 by 3k

Answer 1

2k

-5

Explanation:

Answer 2

Based on the question above, I believe that '6k2' would be
`(6k^2)`. So by this, I would continue to with the following expression as:
`6k^2-15-5/3k`


`Simplify: (5)/(3) \\ \\ ((6 * (k2)) - 15) - ( (5)/(3) *k) \\ \\ ((2*3k^2) - 15) - (5k)/(3) \\ \\ \boxed{\boxed{6k^2 - 15 = (6k^2-15)/(1) = ((6k^2-15)*3)/(3) }} \\ \\ (pull \ out \ like \ terms) \\ \\ 6k^2 - 15 = 3 * (2k^2 - 5) \\ \\ Factoring: 2k^2 - 5`

And by this, in order for us to fully understand that this would be true, the following would enable us to understand.


`\Rightarrow \left[\begin{array}{ccc}A+B) * (A-B) =\\ A2 - AB + BA - B2 =\\ A2 - AB + AB - B2 = \\ A2 - B2\end{array}\right] \Leftarrow`


`\boxed{\bf{ (3*(2k^2-5)*3-(5k))/(3) = (18k^2-5k-45)/(3) }}`


`Factoring : 18k^2 - 5k - 45 \\ \\ \left[\begin{array}{ccc} -810 + 1 = -809 \\ -405 + 2 = -403 \\ -270 + 3 = -267\\ -162 + 5 = -157 \\ -135 + 6 = -129 \\ -90 + 9 = -81 \end{array}\right]`


`(Your \ Answer) : \boxed{\boxed{\bf{ (18k^2-5k-45)/(3) }}}`