Question

(92)²Evaluate by using the identities.

Answer 1

Hey there!!

( 92 )² = ( 90 + 2 )²

( a + b )² = a² + b² + 2ab

( 90 + 2 )² = 90² + 2² + (2)(90)(2)

= 8100 + 4 + 360

= 8460 + 4

= 8464

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Answer 2

HEY !!! HERE IS YOUR ANSWER ✌✌❤❤

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HERE , in the above question ; We can evaluate this by using this identity :-

( a + b )² = a² + 2ab + b²

THIS IDENTITY IS OBTAINED LIKE THIS :-

Taking LHS of the given identity: 
(a + b)2 

We can also write this as: 
= (a + b) (a + b) 

Multiply as we do the multiplication of two binomials and we get: 

= a(a + b) + b(a + b) 
= a2 + ab + ab + b2 

Now We Add the like terms together and we get: 
= a2 + 2ab + b2 

Now Rearranging the terms : 
= a2 + b2 + 2ab 

Hence, in this way we obtain the identity :-
(a + b)2 = a2 + b2+ 2ab 

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The FINAL ANSWER OF ( 92 )² IS :- 8464 .

PLEASE SEE THE REFER ATTACHMENT FOR THE ANSWER .

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HOPE IT HELPS YOU.❤❤

THANKS.✨✨