Question

Divide the binomial by the monomial to find the quotient.

48x^4y-72x^6y^2
-------------------------
-12x^2y

Answer 1

-4x² +6x⁴y

Explanation:

Deal with it term by term, factor by factor.

`(48x^4y-72x^6y^2)/(-12x^2y)=(48x^4y)/(-12x^2y)+(-72x^6y^2)/(-12x^2y)\\\\=(48)/(-12)\cdot(x^4)/(x^2)\cdot(y)/(y)+(-72)/(-12)\cdot(x^6)/(x^2)\cdot(y^2)/(y)=-4x^2+6x^4y`