## 10th Maths Book Back Question and Answers – Chapter 3 Exercise 3.4:

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**Samacheer Kalvi 10th Maths Book Back Answers – Ex 3.4 Algebra**

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**Chapter 3**

**Exercise 3.4 Algebra**

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

**Solution:**

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

**Solution:
**

(i) yy2−25=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) tt2−5t+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) x2+6x+8×2+x−2 is undefined when x^{2} + x – 2 = 0 i.e.

(x + 2) (x + 1) = 0

∴ The excluded values are 2, 1

(iv) x3−27×3+x2−6x 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

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