Question

கூட்டுக

"(ii) " (x+2)/(x+3)+(x-1)/(x-2)

Answer 1

Answer:

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Answer 2

கூட்டுக $\frac{(x+2)}{x+3}+\frac{(x-1)}{x-2}$

தீர்வு:

கொடுக்கப்பட்டது  $\frac{(x+2)}{x+3}+\frac{(x-1)}{x-2}$

= $\frac{(x+2)(x-2)+(x-1)(x-3)}{(x+3)(x-2)}$  

= $\frac{x^{2}-2^{2}+x^{2}+3 x-x-3}{(x+3)(x-2)}$  

= $\frac{2 x^{2}+2 x-4-3}{(x+3)(x-2)}$  

⇒ $\frac{2 x^{2}+2 x-7}{(x+3)(x-2)}$

விடை: $\frac{2 x^{2}+2 x-7}{(x+3)(x-2)}$