Question

The identity used to evaluate (101)² is _____

a) ( a + b )²
b) a ² - b ²
c) (x + a ) ( x - b )
d) none of these​

Answer 1

Step-by-step explanation:

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

a) (a+b)^2

(100+1)^2.

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