Simplify the expression (3+2/(y^3)-3y^4)/(9y^4+-5/(y^2)+-3)

 Exercise

$\frac{3+\frac{2}{y^3}-3y^4}{9y^4-\frac{5}{y^2}-3}$

 

Combine all terms into a single fraction with $y^3$ as common denominator

$\frac{\frac{3y^3+2-3y^4y^3}{y^3}}{9y^4+\frac{-5}{y^2}-3}$

 

When multiplying exponents with same base we can add the exponents

$\frac{\frac{3y^3+2-3y^{7}}{y^3}}{9y^4+\frac{-5}{y^2}-3}$

 

Combine all terms into a single fraction with $y^2$ as common denominator

$\frac{3y^3+2-3y^{7}}{\frac{\left(9y^4y^2-5-3y^2\right)y^3}{y^2}}$

 

When multiplying exponents with same base we can add the exponents

$\frac{3y^3+2-3y^{7}}{\frac{\left(9y^{6}-5-3y^2\right)y^3}{y^2}}$

 

Simplify the fraction $\frac{\left(9y^{6}-5-3y^2\right)y^3}{y^2}$ by $y$

$\frac{3y^3+2-3y^{7}}{\left(9y^{6}-5-3y^2\right)y}$

$\frac{3y^3+2-3y^{7}}{\left(9y^{6}-5-3y^2\right)y}$

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