Anastasiacx2744 Anastasiacx2744
  • 23-06-2021
  • Mathematics
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What is the quotient? StartFraction 3 y + 2 Over 3 y EndFraction divided by StartFraction 6 y squared + 4 y Over 3 y + 2 EndFraction

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abidemiokin
abidemiokin abidemiokin
  • 24-06-2021

Answer:

[tex]\frac{3y+2}{6y^2}\\[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{3y+2}{3y}/\frac{6y^2+4y}{3y+2} \\= \frac{3y+2}{3y} * \frac{3y+2}{6y^2+4y}\\= \frac{3y+2}{3y} * \frac{3y+2}{2y(3y+2)}\\= \frac{3y+2}{3y} * \frac{1}{2y}\\= \frac{3y+2}{6y^2}\\[/tex]

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