# Samacheer Kalvi Math Solution for Exercise 3.11

This page Samacheer Kalvi Math Solution for Exercise 3.11 is going to provide you solution for every problems that you find in the exercise no 3.11

## Samacheer Kalvi Math Solution for Exercise 3.11

(1) Simplify the following as a quotient of two polynomials in the simplest form.

(i) [x³/(x - 2)] + [8/(2-x)] Solution

(ii) (x + 2)/(x² + 3 x + 2)] + (x - 3)/(x² - 2 x - 3)

Solution

(iii) [(x² - x - 6)/(x² - 9)] + [(x² + 2 x - 24)/(x² - x - 12)]

Solution

(iv) (x - 2)/(x² - 7 x + 10)] + [(x + 3)/(x² - 2 x - 15)] Solution

(v) [(2x²-5x+3)/(x²-3x+2)]-[(2x²-7x-4)/(2x² - 3 x - 2)]

Solution

(vi) [(x²-4)/(x²+6x+8)]-[(x²-11x+30)/(x²-x - 20)]

Solution

(vii) [(2x + 5)/(x + 1)] + [(x² + 1)/(x² - 1)] - [(3x - 2)/(x - 1)]

Solution

(viii) [1/(x²+3x+2)] + [1/(x²+5x+6)] - [2/(x²+4x+3)]

Solution

(2) Which rational expression should be added to (x³-1)/(x²+2) to get (3x³ + 2x² + 4)/(x² + 2)?

Solution

(3) Which rational expression should be subtracted from (4x³ - 7 x² + 5)/(2x - 1) to get 2x² - 5x + 1? Solution

(4) If P = x/(x + y) Q = y/(x + y),then find [1/(P-Q)] - [2Q/(P²-Q²)] Solution