Maths : Algebra: Book Back, Exercise, Example Numerical Question with Answers, Solution : Exercise 3.4 : Algebraic Identities

**Exercise 3.4 : Algebraic
Identities**

**1. Expand the following:**

**(i)****
****( x
**

**2. Using algebraic identity, find the
coefficients of x^{2} , x and constant term without actual
expansion.**

**(i) ( x **

**3. If ( x **

**(i) a + b +c (ii) 1/a + 1/b + 1/c (iii) a^{2} + b^{2} +c^{2} (iv) a/bc +
b/ac + c/ab **

**4. Expand: **

**(i) (3 a − 4b)^{3} (ii) ( x
+ 1/y )^{3}**

^{}

^{}

**5. Evaluate the following by using identities:
**

**(i) 98 ^{3} (ii) 1001^{3}
**

^{}

^{}

**6. If ( x **

**7. Find 27 a ^{3} **

**8. Find x ^{3} **

**9. If a + 1/a = 6 , then find the
value of a^{3} + 1/a^{3} . **

**10. If x^{2} + [1/x^{2}]
= 23 , then find the value of x + [1/x] and x^{3} + [1/ x^{3}].
**

**11. If ( y – 1/y)^{3} = 27
, then find the value of y^{3} – [1/y^{3}]**

**12. Simplify:**** ****(i) (2 a **

**(ii) ( x **

**13. By using identity evaluate the following:**

**(i) 7 ^{3} − 10^{3} +
3^{3} (ii) 1 + 1/8 – 27/8 **

**14. If 2 x **

Tags : Numerical Problems with Answers, Solution | Algebra | Maths , 9th Maths : UNIT 3 : Algebra

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9th Maths : UNIT 3 : Algebra : Exercise 3.4 : Algebraic Identities | Numerical Problems with Answers, Solution | Algebra | Maths

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