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Algebra — MATHS STD 10 — Question

Tamilnadu BoardEnglish MediumSTD 10MATHSAlgebra2 Marks
Question
Simplify $\frac{x+2}{x+3}+\frac{x-1}{x-2}$
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Answer

$\begin{aligned} & \frac{x+2}{x+3}+\frac{x-1}{x-2}=\frac{(x+2)(x-2)+(x-1)(x+3)}{(x+3)(x-2)} \\ & =\frac{x^2+2 x-2 x-4+x^2+3 x-x-3}{(x+3)(x-2)} \\ & =\frac{2 x^2+2 x-7}{(x+3)(x-2)}\end{aligned}$

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