Question

Evaluate the following using suitable identity = 101^3

Answer 1

hopefully this may help

Answer 2

$(100+1)^3=1030301$

Step-by-step explanation:

Given : Expression $101^3$.

To find : Evaluate the following using suitable identity ?

Solution :

Write the expression as,

$101^3=(100+1)^3$

Using algebraic identity,

$(a+b)^3=a^3+b^3+3a^2b+3ab^2$

Here, a=100 and b=1

Substitute the values,

$(100+1)^3=(100)^3+1^3+3(100)^2(1)+3(100)(1)^2$

$(100+1)^3=1000000+1+30000+300$

$(100+1)^3=1030301$

Therefore, $(100+1)^3=1030301$

#Learn more

Evaluate the following using suitable identities: (102)³​

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