Question

Use identities to evaluate :
(i) (101)²
pls tell the solution ​

Answer 1

101 can be written as 100 + 1

( 100 + 1 ) ²

Using the formula

• ( a + b ) ² = a² + 2ab + b²

( 100 ) ² + 2 x 100 x 1 + ( 1 ) ²

10000 + 200 + 1

Answer ➡ 10201

Answer 2

$\textbf{\underline{\underline{QUESTION}}} :$

$\bf{Use \ identities \ to \ evaluate :}$

$\bf{(101)^2}$

$\textbf{\underline{\underline{ANSWER}}} :$

$\bf{(101)^2} = (100+1)^2$

$\bf{(a+b)^2=a^2+2ab+b^2}$

$\bf{a= 100 , b = 1}$

$\bf{101^2 = 100^2 + 2(100)(1) + 1^2 }$

$\bf{(100+1)^2 = 10000 + 200 + 1 =} {\underline{10201}}}$

  $\bf{Hope \ it \ helps \ !!}$