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Simplify the expression completely if possible. (5x^(3))/(15x^(2)-30 x) Answer:

Simplify the expression completely if possible.\newline5x315x2−30x \frac{5 x^{3}}{15 x^{2}-30 x} \newlineAnswer:

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Full solution

Q. Simplify the expression completely if possible.\newline5x315x2−30x \frac{5 x^{3}}{15 x^{2}-30 x} \newlineAnswer:
  1. Factor out common terms: Factor out the common terms in the denominator.\newlineThe denominator 15x2−30x15x^{2} - 30x can be factored by taking out the common factor of 15x15x.\newline15x(x−2)15x(x - 2) is the factored form of the denominator.
  2. Simplify by canceling factors: Simplify the expression by canceling out common factors.\newlineThe expression (5x3)/(15x(x−2))(5x^{3})/(15x(x - 2)) has a common factor of 5x5x in the numerator and the denominator.\newlineCanceling out the common factor of 5x5x, we get (x2)/(3(x−2))(x^{2})/(3(x - 2)).
  3. Check for further simplification: Check if further simplification is possible.\newlineThe expression (x2)/(3(x−2))(x^{2})/(3(x - 2)) cannot be simplified further because there are no more common factors and the numerator is not divisible by the denominator.

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