9a^4-6a^3/3a^2

1 answer

To simplify the expression 9a^4 - 6a^3/3a^2, we can start by dividing the numerator and denominator of the second term separately:

(9a^4 - 6a^3) / (3a^2)

Next, we can factor out common terms from the numerator:

3a^3(3a - 2) / (3a^2)

Now, we can simplify further by canceling out common factors:

3a^3 / a^2 * (3a - 2)

Simplifying the expression, we get:

3a^(3-2)(3a - 2)
3a(3a - 2)
= 9a^2 - 6a