Math, asked by brainlychallenger99, 1 month ago

Prove that :
0.87 × 0.87 × 0.87 + 0.13 × 0.13 × 0.13
-------------------------------------------------------- = 1
0.87 × 0.87 - 0.87 × 0.13 + 0.13 × 0.13


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Answered by brainlyanswerer83
3

Hey Mate,

Given Question:-

Prove that :

0.87 × 0.87 × 0.87 + 0.13 × 0.13 × 0.13  

→ 0.87 × 0.87 - 0.87 ×  0.13 + 0.13 × 0.13      

→ = 1

Identity Used:-

→ α³ + b³ = (α + b )( α²-αb + b²)

Solution:-

0.87 × 0.87 × 0.87 + 0.13 × 0.13 × 0.13  

→ 0.87 × 0.87 - 0.87 ×  0.13 + 0.13 × 0.13  

  ( 0.87)³ + (0.13)³                        

→ (0.87)² - 0.87 × 0.13 + (0.13)²

α³ + b³        

→ α² - αb + b²

→ Where α = 0.87

→              b = 0.13

( α + b )( α² - αb + b²)    

→ ( α² - αb + b²)

→ α + b = ( 0.87 + 0.13) = 1

Hence Proved.

---------------------------------------'thank you' -----------------------------------------

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