Class 9 Exam > Class 9 Notes > Lab Manuals for Class 9 > Viva Voce: Algebraic Identity a^2 – b^2 = (a + b) (a - b)
Viva Voce: Algebraic Identity a^2 – b^2 = (a + b) (a - b) | Lab Manuals for Class 9 PDF Download
Q.1. Is the algebraic identity a2 – b2 = (a + b) (a – b) also true, if any one of the variable in the given identity is zero?
Yes, suppose b = 0, then
a2 – 02 = (a + 0) (0 – 0)
⇒ a2 = a2, true.
Q.2. The algebraic identity a2 – b2 = (a - b) (a + b) is true for only natural numbers.
No, it is true for all real numbers.
Q.3. Find the degree of an identity a2 – b2 = (a – b) (a + b).
The degree of an identity is two.
Q.4. Is the identity a2 – b2 = (a + b) (a – b), holds for all real values of a and b?
Yes
Q.5. Which algebraic identity should be used to evaluate 642 — 362?
a2 – b2 = (a + b) (a – b)
Q.6. If we take both negative variables, then their is any effect of algebraic identity.
No,
We know 22 – b2 = (a + b) (a – b)
Suppose we take a = -a and b = -b,
then (-a)2 – (-b)2 = (-a – b) (-a + b)
⇒ a2 – b2 = (a – b) (a + b)
Q.7. Write the places where the algebraic identity a2 – b2 = (a – b) (a + b) is used.
This identity is used in solving the quadratic equation, mensuration problem, factorisation of polynomial, etc
Q.8. Is a2 – b2 a monomial?
No, a2 – b2 is a binomial because it has two terms.
Q.9. If the sides of a rectangle are (√3 + √2) units and (√3 – √2) units, then what will be its area?
1 sq unit
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