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Viva Voce: Algebraic Identity (a^3 – b^3) = (a – b) (a^2 + ab + b^2) | Lab Manuals for Class 9 PDF Download

Q.1. Flow many real zeroes are possible of x3 + 1 and x3 – 1?

Only one real zero is possible.


Q.2. Write the real zero of 8x3 – 1.

1/2


Q.3. Factorize: (2x + y)3 – (x + 2y)3.

(2x + y – x – 2y) [(2x + y)+ (x + 2y)2 + (2x + y) (x + 2y)]
= (x – y) (7x2 + 7y2 + 13xy)


Q.4. Factorize: 27x3 – 64y3.

(3x – 4y) (9x2 + 16y2 + 12xy).


Q.5. What is the value of 33 – 23 ?

(3 – 2) (9 + 4 + 6) = 19.


Q.6. What is the simplification of 123 – 23?

(12 – 2) (144 + 4 + 24) = 1720.


Q.7. Find 83 – 33

(5) (82 + 9 + 24) = 485.


Q.8. How many factors are possible of x3 – 27?

2 factors


Q.9. Is x – 2, a factor of x3 – 8?

Yes

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