Pregunta 5

Apuntes

• Subtopic: Simplification of the Expression Pregunta 5 \[ \frac{4m^2 - 9}{\sqrt{2m^2} + 7m + \sqrt{2m} - 3} \] First, the expression is rewritten as: \[ = \frac{(4m^2 - 9)(2m^2 + 7m)(\sqrt{2m} - 2)}{(2m^2 + 7m)^2 - (2m - 3)^2} \] Next, the denominator is simplified using the difference of squares: \[ = \frac{(4m^2 - 9)(\sqrt{2m} - 2)}{2m^2 + 5m + 3} \] Finally, the numerator factors further: \[ = \frac{(2m - 3)(\sqrt{2m^2} + 7m - \sqrt{2m} - 3)}{m + 1} \] Lizeth González Jiménez Lizeth 6 05 07 0384