Simplify: (-3n)^2 / 6n?

(-3n)^2/(6n)
= [(-3 * -3)(n * n)]/(6n)
= [(9)(n^2)]/(6n)
= 9n^2/(6n)
= (9/6)[(n^2)/n]
= (3/2)(n)
= 3n/2

(-3n)^2 / 6n

= (9n^2) / 6n

= 3n / 2

is this the answer that you were looking for?

(-3n)^2 = 9n^2

So, we have 9n^2 / 6n = 3n/2

(-3n)^2/6n equals 9n^2/6n

9n^2/6n equals 9n/6

9n/6 equals 3n/2

9 n ²
---------
6 n

3 n
------
2

(-3n)^2 = 9n^2

Divide this by 6n

cancel top and bottom by 3n

Answer = 3n/2

(-3n)^2 = 9n^2

9n^2/6n = 3n/2