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in Algebraic Expressions by (49.2k points)
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\(\frac{0.86\times0.86\times0.86 + 0.14\times0.14\times0.14}{0.86\times0.86-0.86+0.14+0.14\times0.14}\) is equal to :

(a) 1 

(b) 0 

(c) 2 

(d) 10

1 Answer

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Best answer

(a) 1

Given exp. = \(\frac{(0.86)^3+(0.14)^3}{(0.86)^2-0.86\times0.14+(0.14)^2}\)

\(\frac{(0.86+0.14)[(0.86)^2-0.86\times0.14+(0.14)^2]}{(0.86)^2-0.86\times0.14+(0.14)^2}\)                  [∴ (a3 + b3) = (a + b)(a2 - ab + b2)]

= 0.86 + 0.14 = 1.

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