Class 9 Exam  >  Class 9 Notes  >  Lab Manuals for Class 9  >  Vice Voca: Algebraic Identity (a + b)^3 = a^3 + b^3 + 3a^2b + 3ab^2

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

Q.1. Find 233 by using the formula (a+b)3 = a3 + b3 + 3a2b + 3ab2

(20 + 3)3 = (20)3 + (3)3 + 3.(20)2.(3) + 3.(20)(3)2
= 8000 + 27 + 9(400) + 60(9) = 8000 + 27 + 3600 + 540
= 12167


Q.2. Find (10 + 2)3.

103 + 23 +600+ 120
= 1728.


Q.3. If one side of a cube is (a – b), then what is the volume of the cube?

Volume of cube = (a – b)3.


Q.4. Write the coefficient of m3 in (2m + n)3.

12n


Q.5. Write the integeral zeroes of (x+8)3

-8


Q.6. Is (a + b)3 binomial?

No


Q.7. Write the degree of (x + 2y)3

3


Q.8. In the activity of (a + b)3, what do you mean by 3a2b, 3ab2?

3 set of cuboids with volumes a x a x b and 3 sets of cuboids with volumes a x b x b.


Q.9. Find (5x + 5y)3

27x3 + 125y3 + 135x2y + 225xy2.


Q.10. Find 113 by using the formula (a+b)3 = a3 + b3 + 3a2b + 3ab2.

(10 + 1)= (10)3 + 3 x (10)2 x 1 + 3 x 10 x 1 + (1)3 
= 1331.

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