[tex] \frac{9y + 3}{81y ^{2} } [/tex] + 54y + 9
Step 1: Re-write the equation with LCD 81y²:
[tex] \frac{9y+3+(81y^{2})(54y)+(81y ^{2})(9) }{81y^{2} } [/tex]
= [tex] \frac{4,374y ^{3}+729y ^{2} +9y+3 }{81y ^{2} } [/tex]
Step 2: Simplify with 3 as GCF of each term:
= [tex] \frac{1,458y^{3}+243y^{2}+3y+1 }{27y^{2} } [/tex]