Question

Q.Find the cube in each of the following.

a. 12
b. 24
C. -49

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Answer 1

Answer:

Cube of 12 is,

12^3

 =12×12×12

 =1728.

Cube of 24 is,

24^3

 =24×24×24

 = 13824

Cube of -49 is,

-49^3

 =-49×-49×-49

 = -117649

Answer 2

Question:

▪︎Find the cube in each of the following.

a. 12

b. 24

C. -49

Solution:

a)Here, a=10 and b=2

Using Formula ;

(10+2)³

= 10³ + 2³ + 3×10×2(10+2)

= 1000 + 8 + (60×12)

= 1000 + 8 + 720

= 1728

b)Here, a=20 and b=4

Using Formula ;

(20+4)³

= 20³ + 4³ + 3×20×4(20+4)

= 8000 + 64 + (240×24)

= 8000 + 64 + 5760

= 13284

c)Here, a=-50 and b=1

Using Formula ;

(-50+1)³

= -50³ + 1³ + 3×-50×1(-50+1)

= -125000 + 1 + (-150×-49)

= -125000 + 1 + 7350

= -117649

Formula to be remembered:

▪︎(a+b)³ = a³ + b³ + 3ab(a+b)

▪︎(a-b)³ = a³ - b³ - 3ab(a-b)