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Viva Voce: Verify the Algebraic Identity (a - b)² = a²- 2ab + b² | Lab Manuals for Class 9 PDF Download

Q.1. In an identity (a – b)2 = a2 + b2 – 2ab, if both variables are equal, then find the value of (a – b)2.

When a = b, then (a-b)² = (b-b)² =0


Q.2. The algebraic identity is true for every real number.

Yes


Q.3. Is the identity (a – b) = a2 – 2ab + b2 hold for negative values of a and b?

Yes


Q.4. Is (x – 3y)2 = x2 – 6xy + 9y2 an algebraic identity?

Yes


Q.5. Suppose we want square of any natural number, then it is possible to find the square of any natural number by using the identity (a – b)2 = a2 + b2 – 2ab 

Yes


Q.6. What do we mean by degree of an algebraic expression?

The highest power of the variable involved in the algebraic expression is called its degree.


Q.7. Which identity should be use to expand (3x – 2y)²?

(a – b)2 = a2 – 2ab + b2


Q.8. What do you mean by an algebraic identity?

An algebraic identity is an algebraic equation which is true for all values of variables occurring in it.

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