Can you explain how to solve 9 + 6(5 - 2)? One of my friends said the answer is 45, but I think it's 27. How are we getting such different answers?
system
kya aap samajha sakate hai ki 9 + 6 (5 - 2) ko kaise hal kiya jaae?mere ek dost ne kaha ki jawaab 45 he, lekin mujhe lagata he ki yah 27 he. hamen aise alag -alag uttar kaise mil rahe hai?
user
is samasya ke aasapaas kaa bhram sanchaalan ke aadesh kii galatfahami par aadhaarit he, jo yah nirdhaarit karata he ki ganit kii samasya ko kis kram main hal kiya janaa chahie.sanchaalan ke kram ko yaad karne ke liye ek saamaanya sankshipt naam pamsdas he, jo koshthak, ghaataank, guna, vibhaajan, jod or ghataav ke liye khadaa he.sabase pehle, kisi bhi ganit ko karnaa mahatvapurn he jo koshthak ke andar he, iske baad kisi bhi ghaataank ko hal karnaa, phir guna or vibhaajan, or ant main iske alaava or ghataav.

is samasya ke maamle main, pehla kadam koshthak ke andar ganit ko puraa karnaa he:
9 + 6 (5 - 2) = 9 + 6 (3)

aglaa, gunan ko hal karen:
9 + 6 (3) = 9 + 18

ant main, atirikt ko hal karke samasya ko puraa karen.
9 + 18 = 27
assistant
<|system|>
</s>
<|user|>
kya aap samajha sakate hai ki 9 + 6 (5 - 2) ko kaise hal kiya jaae?mere ek dost ne kaha ki jawaab 45 he, lekin mujhe lagata he ki yah 27 he. hamen aise alag -alag uttar kaise mil rahe hai?</s>
<|assistant|>
is samasya ke aasapaas kaa bhram sanchaalan ke aadesh kii galatfahami par aadhaarit he, jo yah nirdhaarit karata he ki ganit kii samasya ko kis kram main hal kiya janaa chahie.sanchaalan ke kram ko yaad karne ke liye ek saamaanya sankshipt naam pamsdas he, jo koshthak, ghaataank, guna, vibhaajan, jod or ghataav ke liye khadaa he.sabase pehle, kisi bhi ganit ko karnaa mahatvapurn he jo koshthak ke andar he, iske baad kisi bhi ghaataank ko hal karnaa, phir guna or vibhaajan, or ant main iske alaava or ghataav.

is samasya ke maamle main, pehla kadam koshthak ke andar ganit ko puraa karnaa he:
9 + 6 (5 - 2) = 9 + 6 (3)

aglaa, gunan ko hal karen:
9 + 6 (3) = 9 + 18

ant main, atirikt ko hal karke samasya ko puraa karen.
9 + 18 = 27</s>
