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

Questioning the algebra

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Questioning the algebra

Q-9 Verify:

  1. Equation

  2. Equation

Solution:

  1. Equation

    R.H.S Equation

    Equation

    Equation

    L.H.S

  2. Equation

    R.H.S Equation

    Equation

    Equation

    L.H.S

Q-10 Factorize each of the following:

  1. Equation

  2. Equation

Solution:

  1. Equation

    Equation

    Using identify Equation

    Equation

    Equation

  2. Equation

    Equation

    Using identify Equation

    Equation

    Equation

Q-11 Factorize: Equation

Solution:

Using Equation

Equation

Equation

Equation

Q-12 Verify that:

Equation

Solution:

Equation

Equation

Equation

Equation

Equation

Equation

Equation

Q-13 If Equation , show that Equation

Solution:

Equation

Also it is given Equation

Equation

Equation

Equation

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

  1. Equation

  2. Equation

Solution:

  1. Equation

    Equation

    Using identify, if Equation

    Equation

    Equation

  2. Equation

    Equation

    Using identify, if Equation

    Equation

    Equation

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

  1. Equation

  2. Equation

Solution:

Since Equation

Let us factorize the following equations into two terms

  1. Equation

    Equation

    Equation

    Equation

    Equation

    Equation

  2. Equation

    Equation

    Equation

    Equation

    Equation

    Equation

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

  1. Equation

  2. Equation

Solution:

Since Equation

Let us factorize the following equations into two terms

  1. Equation

    Equation

    Equation

    Equation

  2. Equation

    Equation

    Equation

    Equation

    Equation

    Equation

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