Class 9 Exam  >  Class 9 Questions  >  is equal to :-a)1b)(0.83)3+ (0.17)3c)0d)None ... Start Learning for Free
 is equal to :-

  • a)
    1

  • b)
    (0.83)3 + (0.17)3

  • c)
    0

  • d)
    None of these

Correct answer is option 'A'. Can you explain this answer?
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is equal to :-a)1b)(0.83)3+ (0.17)3c)0d)None of theseCorrect answer is...
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is equal to :-a)1b)(0.83)3+ (0.17)3c)0d)None of theseCorrect answer is...
Yes answer is 1. a=0.83 ,b=0.17 0.83×0.83×0.83 +0.17×0.17×0.17. / 0.83× 0.83+0.83× 0.17+0.17×0.17. = formula = a³+b³=( a+b)(a²-ab +b²) / a²-ab+ b² = cut the up and down a²-ab +b² = only a+b here ,add a+b =0.83+0.17= 1.00= 1, correct answer a) 1..
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is equal to :-a)1b)(0.83)3+ (0.17)3c)0d)None of theseCorrect answer is...
Answer is option a)1
Solution:
0.83 * 0.83 * 0.83 + 0.17 * 0.17 * 0.17 / 0.83 * 0.83 - 0.83 * 0.17 + 0.17 * 0.17
=0.83^3 + 0.17^3 / 0.83^2 - 0.83 * 0.17 + 0.17^2
=(0.83 + 0.17)(0.83^2 - 0.83 * 0.17 + 0.17^2) / 0.83^2 - 0.83 * 0.17 + 0.17^2      
[ Since, a^3 + b^3 = (a + b)(a^2 - ab + b^2) ]
=(0.83 + 0.17)
=(1)
=1
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