Samacheer Kalvi 10th Maths Solutions Chapter 3 Algebra Ex 3.4

Samacheer Kalvi 10th Maths Solutions Chapter 3 Algebra Ex 3.4

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 Question 2.
Find the excluded values, if any of the following expressions.

Solution:
(i) y/y2−25=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) t/t2−5t+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) x2+6x+8/x2+x−2 is undefined when x² + x – 2 = 0 i.e.
(x + 2) (x + 1) = 0
∴ The excluded values are 2, 1

(iv) x3−27/x3+x2−6x 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