NCERT Class 9 Solutions: Polynomials (Chapter 2) Exercise 2.5 – Part 3

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Questioning the algebra

Algebra Image

Questioning the algebra

Q-9 Verify:

Solution:

  1. R.H.S

    L.H.S

  2. R.H.S

    L.H.S

Q-10 Factorize each of the following:

Solution:

  1. Using identify

  2. Using identify

Q-11 Factorize:

Solution:

Using

Q-12 Verify that:

Solution:

Q-13 If , show that

Solution:

Also it is given

Q-14 Without actually calculating the cubes fined the value of each of the following:

Solution:

  1. Using identify, if

  2. Using identify, if

Q-15 Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given:

Solution:

Since

Let us factorize the following equations into two terms

Q-16 What are the possible expressions for the dimensions of the cuboids whose volumes are given below?

Solution:

Since

Let us factorize the following equations into two terms