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Simplify (x^(2)-4x)/((x+3)(5x-20))

Simplify\newlinex2−4x(x+3)(5x−20)\frac{x^{2}-4x}{(x+3)(5x-20)}

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Full solution

Q. Simplify\newlinex2−4x(x+3)(5x−20)\frac{x^{2}-4x}{(x+3)(5x-20)}
  1. Identify Expression and Factorize: Identify the expression and factorize the numerator and denominator.\newlineNumerator: x2−4x=x(x−4)x^2 - 4x = x(x - 4)\newlineDenominator: (x+3)(5x−20)=(x+3)5(x−4)(x + 3)(5x - 20) = (x + 3)5(x - 4)
  2. Simplify by Canceling Common Factors: Simplify the expression by canceling common factors. x(x−4)(x+3)5(x−4)=x5(x+3)\frac{x(x - 4)}{(x + 3)5(x - 4)} = \frac{x}{5(x + 3)}
  3. Write Final Simplified Form: Write the final simplified form.\newlineThe expression simplifies to x5(x+3)\frac{x}{5(x + 3)}.

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