Question 117722
{{{(-12x^2y - 9x^5y^2- 15 xy^4)/(-3xy)}}} Start with the given expression



{{{(-12x^2y)/(-3xy) - (9x^5y^2)/(-3xy)- (15 xy^4)/(-3xy)}}} Break up the fraction



{{{(-12x^(2-1)y^(1-1))/(-3) - (9x^(5-1)y^(2-1))/(-3)- (15x^(1-1)y^(4-1))/(-3)}}} Divide the variables. Remember when you divide monomials, you subtract their corresponding exponents.



{{{4x^1y^0 +3x^4y^1+5x^0y^3}}} Simplify.  Remember to reduce the coefficients.



{{{4xy^0 +3x^4y+5x^0y^3}}} Remove the exponents of 1 since {{{x^1=x}}}.



{{{4x +3x^4y+5y^3}}} Remove the terms with the exponents of 0 since {{{x^0=1}}}.



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Answer:

So {{{(-12x^2y - 9x^5y^2- 15 xy^4)/(-3xy)}}} simplifies to {{{4x +3x^4y+5y^3}}}