24.5k views
2 votes
Rewrite the rational expression as an equivalent rational expression whose denominator is the given polynomial

Rewrite the rational expression as an equivalent rational expression whose denominator-example-1

1 Answer

4 votes

Step 1

Given;


\begin{gathered} (-5y-3)/(30x^2+20)=(z)/(60x^2+40) \\ \text{where;} \\ z\text{ is the missing part of the equivalent rational }expression \end{gathered}

Required; To find the missing part of the equivalent rational expression.

Step 2

Cross multiply


\begin{gathered} (-5y-3)/(30x^2+20)=(z)/(60x^2+40) \\ z(30x^2+20)=(-5y-3)(60x^2+40) \\ \end{gathered}

Factorize 60x²+40


z(30x^2+20)=(-5y-3)(2(30x^2+20))

Divide all through by 30x²+20


\begin{gathered} (z(30x^2+20))/((30x^2+20))=((-5y-3)(2(30x^2+20)))/((30x^2+20)) \\ z=2(-5y-3) \\ z=-10y-6 \end{gathered}

Hence;


\begin{gathered} (-5y-3)/(30x^2+20)=(-10y-6)/(60x^2+40) \\ \text{Therefore, the missing part of the equivalent rational expression is;} \\ -10y-6 \end{gathered}

User Jan Hernandez
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories