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Simplify: 2x(x-5) / 4b

Mathematics

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Step-by-step solution

3 steps

Here's how to simplify the expression:

We are given the expression 4b2x(x−5)\frac{4b}{2x(x-5)}.

  1. Simplify the numerical coefficients in the numerator and the denominator.

    4b2x(x−5)=42⋅bx(x−5)\frac{4b}{2x(x-5)} = \frac{4}{2} \cdot \frac{b}{x(x-5)}

  2. Perform the division of the coefficients.

    42=2\frac{4}{2} = 2

  3. Combine the simplified coefficient with the rest of the expression.

    2⋅bx(x−5)=2bx(x−5)2 \cdot \frac{b}{x(x-5)} = \frac{2b}{x(x-5)}

    The simplified expression is ∗2bx(x−5)∗\boxed*{\frac{2b}{x(x-5)}*}.

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