Question

solve using identities 101²​

Answer 1

$\sf\color{red}{ᴀɴsᴡᴇʀ}$

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.

= 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 ✅✅.

_____________________________

THANKS

#BeBrainly.

Answer 2

ANSWER

(101)^2

➡ ( 100 + 1 )^2

WE KNOW THAT,

➡ (a + b)^2 = a^2 + b^2 + 2ab

➡ ( 100 + 1 )^2 = 100^2 + 1^2 + 2×100×1

➡ 10000 + 1 + 200

➡ 10,201