Math, asked by Nidhilovely, 1 year ago

Evaluate the following using the suitable identity; (-25)^3+(10)^3+(15)^3

Answers

Answered by jitendrakapse
51
A^3 + B^3 + C^3 = 3ABC IF A + B + C = 0
As we see that (-25) + 10 + 15 = 0
Hence (-25)^3+(10)^3+(15)^3 = 3 × (-25) × 10 × 15 = -75 × 150 = -11250

Nidhilovely: Nice
Nidhilovely: Ur good name?
jitendrakapse: I am Jitendra
Nidhilovely: Ohh good
Nidhilovely: Which grade?
jitendrakapse: Where are you from and what do you do ?
Nidhilovely: I'm from Hyderabad and I'm a student
jitendrakapse: I am a graduate in Bachelor of commerce
Nidhilovely: Ohh wow bro
jitendrakapse: Thanks.... someone marked that answer a brainliest but it's wrong !
Answered by mysticd
122
Hi ,

***************************************

We know that ,

If a + b + c = 0 then

a³ + b³ + c³ = 3abc

***************************************

Here ,

a = -25 , b = 10 , c = 15

Now ,

a + b + c = -25 + 10 + 15 = 0

Therefore ,

a³ + b³ + c³

= ( -25 )³ + ( 10 )³ + ( 15 )³

= 3abc

= 3 × ( -25 ) × 10 × 15

= - 11250

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Nidhilovely: Thanks bro!
jitendrakapse: Most Welcome
Nidhilovely: I think ur answer is wrong
jitendrakapse: You can check as well.
Nidhilovely: the answer is 11250 bro
jitendrakapse: yeh....Its wrong
mysticd: answer is - 11250 , typing error
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