Problem

12) Simplify $\frac{4 x^{2}-25}{6 x^{2}-11 x-10}$. State any non-permissible values.

Answer

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Answer

Simplify the expression and find non-permissible values: \(\boxed{\frac{2x + 5}{3x + 2}}\), with non-permissible values \(x = -\frac{2}{3}\) and \(x = \frac{5}{2}\)

Steps

Step 1 ：Factor the numerator and denominator: \(\frac{(2x - 5)(2x + 5)}{(2x - 5)(3x + 2)}\)

Step 2 ：Simplify the expression and find non-permissible values: \(\boxed{\frac{2x + 5}{3x + 2}}\), with non-permissible values \(x = -\frac{2}{3}\) and \(x = \frac{5}{2}\)

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