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

Q-4 Expand each of the following using suitable identities:

  1. Equation

  2. Equation

  3. Equation

  4. Equation

  5. Equation

  6. Equation

Solution:

Mathmatical identities for squares of trinomials

Trinomial Square Formulas

Mathmatical identities for squares of trinomials

  1. Equation

    Using identify Equation

    Here Equation

    Equation

    Equation

  2. Equation

    Using identify Equation

    Here Equation

    Equation

    Equation

  3. Equation

    Using identify Equation

    Here Equation

    Equation

    Equation

  4. Equation

    Using identify Equation

    Here Equation

    Equation

    Equation

  5. Equation

    Using identify Equation

    Here Equation

    Equation

    Equation

  6. Equation

    Using identify Equation

    Here Equation

    Equation

    Equation

    Equation

Q-5 Factorize:

  1. Equation

  2. Equation

Solution:

  1. Equation

    Equation

    Equation

    Using identify Equation

    Equation

    Equation

  2. Equation

    Equation

    Equation

    Using identify Equation

    Equation

    Equation

Q-6 Write the following cubes in expanded form:

  1. Equation

  2. Equation

  3. Equation

  4. Equation

Solution:

Important identities with cubes

Most Important Identities Involving Cubes

Important identities with cubes

  1. Equation

    Using identify Equation

    Equation

    Equation

    Equation

  2. Equation

    Using identify Equation

    Equation

    Equation

    Equation

  3. Equation

    Using identify Equation

    Equation

    Equation

    Equation

  4. Equation

    Using identify Equation

    Equation

    Equation

    Equation

Q-7 Evaluate the following using suitable identities:

  1. Equation

  2. Equation

  3. Equation

Geometric interpretation of a + b cubed

Illustrating a + B Cubed

Geometric interpretation of a + b cubed

Solution:

  1. Equation

    Equation

    Using identity Equation

    Equation

    Equation

    Equation

    Equation

  2. Equation

    Equation

    Using identity Equation

    Equation

    Equation

    Equation

    Equation

  3. Equation

    Equation

    Using identity Equation

    Equation

    Equation

    Equation

    Equation

    Equation

Q-8 Factorize each of the following:

  1. Equation

  2. Equation

  3. Equation

  4. Equation

  5. Equation

Solution:

  1. Equation

    Equation

    Equation

    Equation

  2. Equation

    Equation

    Equation

    Equation

  3. Equation

    Equation

    Equation

    Equation

  4. Equation

    Equation

    Equation

    Equation

  5. Equation

    Equation

    Equation

    Equation

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