Samacheer Kalvi 10th Maths Solutions Chapter 3 Algebra Ex 3.4

   

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Tamilnadu Samacheer Kalvi 10th Maths Solutions Chapter 3 Algebra Ex 3.4

10th Maths Exercise 3.4 Samacheer Kalvi Question 1.
Reduce each of the following rational expressions to its lowest form.
Ex 3.4 Class 10 Samacheer
10th Maths Exercise 3.4 Samacheer Kalvi
Solution:
10th Maths 3.4 Exercise Samacheer Kalvi

 

Ex 3.4 Class 10 Samacheer Question 2.
Find the excluded values, if any of the following expressions.
10th Maths Exercise 3.4 Solution Samacheer Kalvi
Solution:
(i) \(\frac{y}{y^{2}-25}=\frac{y}{(y+5)(y-5)}\) is undefined when (y + 5) (y – 5) = 0 that is y = -5, 5
∴ The excluded values are -5, 5

(ii) \(\frac{t}{t^{2}-5 t+6}\) is undefined when t2 – 5t + 6 = 0 i.e.
(t – 3) (t – 2) = 0 ⇒ t = 3, 2
∴ The excluded values are 3, 2

(iii) \(\frac{x^{2}+6 x+8}{x^{2}+x-2}\) is undefined when x2 + x – 2 = 0 i.e.
(x + 2) (x + 1) = 0
∴ The excluded values are 2, 1

(iv) \(\frac{x^{3}-27}{x^{3}+x^{2}-6 x}\) is undefined when x3 + x2 – 6x = 0, i.e
x(x2 + x – 6) = 0
x(x + 3) (x – 2) = 0
∴ The excluded values are -3, 2