Which expression is equivalent to
3
a
2
−
6
a
3
a
3
? Assume that the denominator does not equal zero.
A.
a
−
2
a
2
B.
a
−
2
a
C.
3
(
a
−
2
)
a
D.
-3a
To simplify the expression 3a^2 - 6a^3/a^3, we can factor out the common term of a^2 from the numerator.
Step 1: Factor out a^2.
3a^2 - 6a^3/a^3 = (3a^2/a^3)(1 - 2a)
Step 2: Simplify the expression.
3a^2/a^3 can be simplified to 3/a.
Therefore, the expression is equivalent to (3/a)(1 - 2a), which is option C.
Answer: C. 3(a^(-2))a