simplify 2(5-2x)/(2x+5)(2x-5)

asked by guest
on Jan 12, 2025 at 10:28 am



You asked:

Simplify the expression: \(\frac{2 \left(5 - 2 x\right)}{\left(2 x + 5\right) \left(2 x - 5\right)}\)

MathBot Answer:

Simplified:

\[ \frac{2 \left(5 - 2 x\right)}{\left(2 x + 5\right) \left(2 x - 5\right)} = - \frac{2}{2 x + 5} \]


Expanded:

\[ \frac{2 \left(5 - 2 x\right)}{\left(2 x + 5\right) \left(2 x - 5\right)} = - \frac{4 x}{4 x^{2} - 25} + \frac{10}{4 x^{2} - 25} \]


Factored:

\[ \frac{2 \left(5 - 2 x\right)}{\left(2 x + 5\right) \left(2 x - 5\right)} = - \frac{2}{2 x + 5} \]