Question

21a5b³-14a³b² +63a²b
———————————-
7ab

Answer 1

`3a^4b^2-2a^2b+9a`

Explanation:

Because multiplication is the inverse of division, we're able to split this fraction into three separate fractions, which will simplify nicely at the end:

`(21a^5b^3)/(7ab); (-14a^3b^2)/(7ab); (63a^2b)/(7ab)`

We can start by simplifying each fraction since 21, -14, and 63 are all divisible by 7:

`(3a^5b^3)/(ab); (-2a^3b^2)/(ab); (63a^2b)/(ab)`

Finally, when dividing quotients with exponents, we subtract the exponents and we put all of our answers back together since everything was multiplied by each other at the beginning of the problem:

`3a^4b^2-2a^2b+9a`