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a+b = c and abc = 30, then what is the value of a3 + b3 – c3 ?
- a)60
- b)90
- c)-90
- d)-60
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
a+b = c and abc = 30, then what is the value of a3 + b3 – c3 ?a)...
Given a+b =c
also abc = 30, Now substitute c as a+b in ABC = 30
ab(a+b) = 30 factorize 30, 30 can be (30 *1 ) or (15*2) or (6*5)
Iam taking 30 = 6 * 5 = ( 3 *2 ) (3 +2) Compare with
we can conclude a =3, b=2 and c= a+b = 2+3 =5
There fore
= 27 + 8 - 125
= 35 - 125 = -90
also abc = 30, Now substitute c as a+b in ABC = 30
ab(a+b) = 30 factorize 30, 30 can be (30 *1 ) or (15*2) or (6*5)
Iam taking 30 = 6 * 5 = ( 3 *2 ) (3 +2) Compare with
ab(a+b) = 30
we can conclude a =3, b=2 and c= a+b = 2+3 =5
There fore
a^3 + b^3 – c^3 = 3^3 + 2^3 -5^3
= 27 + 8 - 125
= 35 - 125 = -90
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Community Answer
a+b = c and abc = 30, then what is the value of a3 + b3 – c3 ?a)...
a3 + b3 – c3 = -3(abc) = -3(30) = -90
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a+b = c and abc = 30, then what is the value of a3 + b3 – c3 ?a)60b)90c)-90d)-60Correct answer is option 'C'. Can you explain this answer?
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