Class 9 Exam > Class 9 Notes > Lab Manuals for Class 9 > Viva Voce: Verify the Algebraic Identity (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca
Viva Voce: Verify the Algebraic Identity (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca | Lab Manuals for Class 9 PDF Download
Q.1. If we take all the variables are equal in the identity (a + b + c)2 = a2+ b2 + c2 + 2ab + 2bc + 2ca, then it will give us a cube of one variable. What is the name of the solid figure in which it gives out a cube of one variable?
Cubic solid figure
Q.2. Is the expansion of (x + y + z)2, trinomial?
No, because on expanding (x + y + z)2, we get six terms.
Q.3. What do you mean by zeroes of a polynomial?
If p(x) is a polynomial, then a real number k is said to be zero of the polynomial p(x), If p(k) = 0.
Q.4. Which identity should be used to expand (3x -√y + z)2 ?
(a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca.
Q.5. Write the condition that the three variables in identity (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca should be written in two variables form (x + y)2 = x2 + y2 + 2xy.
Anyone of the variable in the identity (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca should be zero.
Q.6. What do you mean by a trinomial?
A polynomial with three terms is called a trinomial.
Q.7. What do you mean by a polynomial?
An algebraic expression, in which the variables involved have only non-negative integral power, is called a polynomial.
Q.8. Is the identity (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca, holds for all real values of a, b and c?
Yes
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