Question

Evaluate the value of (101)² by using suitable identity

Answer 1

We will use an identity which is quite often used by you in algebra.

The identity is as mentioned below:

( a + b ) ^ 2 = a ^ 2 + b ^ 2 + 2ab

Given,

( 101 ) ^ 2

If we split the given value correctly then,

( 100 + 1 ) ^ 2

Now,

a = 100 and b = 1

Therefore,

( 101 ) ^ 2 = ( 100 ) ^ 2 + ( 1 ) ^ 2 + 2 * 100 * 1

( 101 ) ^ 2 = 10000 + 1 + 200

On performing simple addition we get,

( 101 ) ^ 2 = 10,201

Therefore,

Your answer is 10,201.

Using identities for such calculations helps us to find the answer quickly and more correctly as performing normal multiplication may cause certain errors.

Answer 2

Hey there !!

➡ Evaluate the value :-

→ ( 101 )² [ using suitable identity .]

➡ Solution :-

Given number = (101)².

We can write 101 in this form:-

=> 101 = 100 + 1.

▶ Now,

A/Q,

= (101)².

= ( 100 + 1 )².

[ → Using identity :- ( a + b )² = a² + b² + 2ab.

= (100)² + (1)² + 2 × 100 × 1.

= 10000 + 1 + 200.

$\huge \boxed{ \boxed{ \bf = 10201.}}$

[ Note:- If the number in the square is less than 100 than , then we use this identity :- ( a - b )² = a² + b² - 2ab. ]
✔✔ Hence, it is solved ✅✅.

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THANKS

#BeBrainly.