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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→ 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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