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Question
Find the value of : [(0.87)3 + (0.13)3] ÷ [(0.87)2 + (0.13)2 - 0.87 × 0.13] .
Find the value of : [(0.87)3 + (0.13)3] ÷ [(0.87)2 + (0.13)2 - 0.87 × 0.13] .
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Solution
We know a³ + b³ = (a+b) (a² - ab + b²)
here a = 0.87 and b = 0.13 and a + b = 1
(0.87³ + 0.13³ ) / [ 0.87² - 0.87 * 0.13 + 0.13² ]
= 1 * (0.87² - 0.87 * 0.13 + 0.13² ) / [ 0.87² - 0.87 * 0.13 + 0.13² ]
= 1
here a = 0.87 and b = 0.13 and a + b = 1
(0.87³ + 0.13³ ) / [ 0.87² - 0.87 * 0.13 + 0.13² ]
= 1 * (0.87² - 0.87 * 0.13 + 0.13² ) / [ 0.87² - 0.87 * 0.13 + 0.13² ]
= 1
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