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Let’s check out your problem:

((y^(2)-36)/(6y))/((y^(2)+6y)/(5y^(3)))=

y2−366yy2+6y5y3= \frac{\frac{y^{2}-36}{6 y}}{\frac{y^{2}+6 y}{5 y^{3}}}=

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Full solution

Q. y2−366yy2+6y5y3= \frac{\frac{y^{2}-36}{6 y}}{\frac{y^{2}+6 y}{5 y^{3}}}=
  1. Factor Numerator and Denominator: Factor the numerator of the first fraction and the denominator of the second fraction
  2. Rewrite with Factored Terms: Rewrite the expression with the factored terms
  3. Flip and Change to Multiplication: Flip the second fraction and change the division to multiplication
  4. Cancel Common Terms: Cancel out common terms
  5. Simplify Expression: Simplify the expression after canceling
  6. Multiply Numerators and Denominators: Multiply the numerators and denominators
  7. Distribute 5y25y^2: Distribute 5y25y^2 across (y−6)(y - 6)

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