Class 9 Maths Chapter 2 Exercise-2.4 Solutions
Class 9 Maths Chapter 2 Exercise-2.4 Solutions helps you in solving all the questions given in the last exercise of the chapter Polynomials. This exercise contains 16 questions and each of them can be easily solved by applying appropriate algebraic identities. Some questions that you are going to find in this exercise are questions based on finding products, factorising, expanding, evaluating and verifying polynomials with the help of numerous identities. Here in this exercise, you will use identities involving third-degree terms in addition to the identities containing second-degree terms.
1. Use suitable identities to find the following products:
2. Evaluate the following products without multiplying directly:
3. Factorise the following using appropriate identities:
4. Expand each of the following using suitable identities:
5. Factorise:
6. Write the following cubes in expanded form:
7. Evaluate the following using suitable identities:
8. Factorise each of the following:
9. Verify:
10. Factorise each of the following:
11. Factorise: 27x3 + y3 + z3 – 9xyz.
12. Verify that x3 + y3 + z3 – 3xyz = 1/2(x + y + z)[(x – y)2 + (y – z)2 + (z – x)2 ]
13. If x + y + z = 0, show that x3 + y3 + z3 = 3xyz.
14. Without actually calculating the cubes, find the values of each of the following:
15. Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given:
16. What are the possible expressions for the dimensions of the cuboids whose volumes are given below?
