could someone help me with math?

Question

Perform the following division (find the following quotient).

 

a⁴b² −ab^2/−ab²

 

im so confused on what to do please help me

Answer 1

(a^4b^2 - ab^2)/(-ab^2)

= -a^3 + 1

when you divide, subtract the denominators' exponents from the numerators' exponents

(a^4b^2 -ab^2)/(-ab^2)

= a^4b^2/(ab^2) - ab^2/(-ab^2)

= a^(4-1)b^(2-2) + 1

= -a^3 + 1

= 1 -a^3

you could also factor the quotient, if you want

=-(a^3 - 1) = -(a-1)(a^2 + a +1)

= (1-a)(a^2 + a + 1)