1.

Evaluate -51^3 in column identity method​

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Answer:

Answer

Given number =23

By using COLUMN method we have,

∴a=2 and B=3

a

2

(2×a×b) b

2

4 12 9

+1 +0

=5 =12

∴(23)

2

=529

Steps involved in solving column method:

Step 1: Make three columns headed by a

2

,2×a×b and b

2

respectively. Write the values of a

2

,2×a×b and b

2

in columns respectively.

Step 2: In third column underline the unit digits of b

2

i.e 9 and carry the tens digit of it i.e. 0 to the SECOND column and add it to the value of second column is 2×a×b and it will remains 12 if it added to 0.

Step 3: In column second, underline the unit digit of the number obtained in second step i.e. 2 and carry over the ten digit of it to first column and add it to the value of a

2

i.e. 4+1=5

Step 4: Now underline the number obtained in third step in first column i.e. 5. The underlined digits give the required square number.


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