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

Rational Expressions Calculator.

Question 1.

Reduce each of the following rational expressions to its lowest form.

Solution:

Question 2.

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

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 t^{2} – 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 x^{2} + 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 x^{3} + x^{2} – 6x = 0, i.e

x(x^{2} + x – 6) = 0

x(x + 3) (x – 2) = 0

∴ The excluded values are -3, 2