Question

without actually calculating the cubes. Find the value of each of the following:

( 1 ) ( -12 )³ + 7³ + 5³
( 2 ) ( 28) ³ + (-15) ³ + (-13)³

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Answer 1

Answer:

1st answer -: -1260

2nd answer -: 16380

Answer 2

→ Hey Mate,

→ Given Question:-

→ Without actually calculating the cubes. Find the value of each of the following:

( 1 ) ( -12 )³ + 7³ + 5³

( 2 ) ( 28) ³ + (-15) ³ + (-13)³

→ To Find :-

→ The value of the given questions.

→ Identity Used:-

→ α³ + b³ + c³ = 3αbc

→ Solution:-

→ 1 ) Let α = -12

→           b =  7

→           c  = 5

→ α + b + c = -12 + 7 + 5 = 0

→ α³ + b³ + c³ = 3αbc

→ ( -12)³ + 7³ + 5³

→ = 3 × (-12) × 7 × 5

→ = -1260

→ 2) Let  a = 28

→             b = -15

→             c = -13

→ α + b + c = 28 - 15 - 13 = 0

→ ∴ α³ + b³ + c³ = 3αbc

→ ( 28 )³ + (-15)³ + ( -13)³

→  3 × 28 × (-15) × ( -13)

→ = 16380

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