Question

apply identity and find the value of (100+1)3​

Answer 1

Answer:

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.

Step-by-step explanation:

Answer 2

Answer:

1030301

Explanation:

(a+b)³ = a³+b³+3a²b+3ab²

(100+1)³

= (100)³+(1)³+3(100)²(1)+3(100)(1)²

= 1000000+1+30000+300

= 1030301