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Vice Voca: Verify the Algebraic Identity a³ + b³ = (a + b)(a²- ab + b²) | Lab Manuals for Class 9 PDF Download

Q.1. How many factors are formed by x3 +y3?

Two factors are formed (x + y) (x2 + y2 – xy).


Q.2. What are the possible expressions for a dimension of a cuboid whose volume is 3x3 – 12x?

3x (x – 2) (x + 2)


Q.3. Write the degree of (x + y) (x2 + y– xy).

3


Q.4. Is (2 + x) (4 + x2 – 2x) a binomial or trinomial?

(2 + x) (4 + x2 – 2x) = (23 + x) = 8 + x3 which is a binomial.


Q.5. Find 53 + 23 by using formula a3 + b3 = (a + b) (a2 – ab + b2).

(7) (25 + 4 – 10) = 7 (19) = 133.


Q.6. What are the possible expressions for the area of a circular ring, whose internal radius is rand external radius is R?

π (R – r) (R + r).


Q.7. Simplify: (3 + x) (9 + x– 3x).

33 + x3 = 27 + x3


Q.8. Write the real zero of x+ 1.

-1

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