NCERT Class 9 Solutions: Polynomials (Chapter 2) Exercise 2.5 – Part 1

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Q-1 Use suitable identities to find the following products:

  1. Equation

  2. Equation

  3. Equation

  4. Equation

  5. Equation

Solution:

Most common algebraic identities

Common Algebraic Identities

Most common algebraic identities

  1. Using identify Equation

    Equation

    Equation

  2. Using identify Equation

    Equation

    Equation

  3. Using identify Equation

    Equation

    Equation

  4. Using identify Equation

    Equation

    Equation

  5. Using identify Equation

    Equation

    Equation

Q-2 Evaluate the following products without multiplying directly:

  1. Equation

  2. Equation

  3. Equation

Solution:

  1. Equation

    Equation

    Equation

    Equation

    Equation

  2. Equation

    Equation

    Equation

    Equation

    Equation

  3. Equation

    Equation

    Equation

    Equation

    Equation

Q-3 Factories the following using appropriate identities:

  1. Equation

  2. Equation

  3. Equation

Understanding the geometric proof of (a + b) squared

Proof of (A + B) Squared

Understanding the geometric proof of (a + b) squared

Equation

Understanding the geometric proof of (a - b) squared

Proof of (A Minus B) Squared

Understanding the geometric proof of (a - b) squared

Equation

Understanding the geometric proof of a squared - b squared

Geometric Proof of a Squared - B Squared

Understanding the geometric proof of a squared - b squared

Equation

Solution:

  1. Equation

    Equation

    Equation (Applying Equation )

    Equation

  2. Equation

    Equation

    Equation (Applying Equation )

    Equation

  3. Equation

    Equation

    Equation (Applying Equation )

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