Question

Find the cube of the following using shortcut method. (i) 23
please give a solved answer
and don't answer any unnecessary answers please​

Answer 1

Answer:

(23)³ = 23 x 23 x 23 = 12167.

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Answer 2

Answer:

METHOD:

For finding the cube of a two-digit number with the tens digit = a

and the units digit = b, we make four columns, headed by

a³, (3a² × b), (3a × b²) and b³

The rest of the procedure is the same as followed in squaring a number by the column method.

We simplify the working as;

a² × a = a³;

a² × 3b = 3a²b;

b² × 3a = 3ab²;

b² × b = b³;

Examples on the method for finding the cube of a two-digit number:

1. Find the value of (29)³ by the short-cut method.

Solution:

Method for Finding the Cube of a Two-Digit Number

Here, a = 2 and b =9.

a² × a = a³;

a² × 3b = 3a² × b;

b² × 3a = 3a × b²;