Problem

b) $\frac{2 x+10}{x^{2}-4 x+4}+\frac{x^{2}-25}{x-2}$

Solution

Step 1 :Given the expression: \(\frac{2 x+10}{x^{2}-4 x+4}+\frac{x^{2}-25}{x-2}\)

Step 2 :Factorize the numerator and denominator of each fraction.

Step 3 :Simplify the expression by cancelling out common factors if any.

Step 4 :The expression simplifies to: \(\frac{x^{3} - 2x^{2} - 23x + 60}{x^{2} - 4x + 4}\)

Step 5 :This is the simplest form of the expression.

Step 6 :Final Answer: \(\boxed{\frac{x^{3} - 2x^{2} - 23x + 60}{x^{2} - 4x + 4}}\)

From Solvely APP
Source: https://solvelyapp.com/problems/7860/

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