\(\frac{0.86\times0.86\times0.86 + 0.14\times0.14\times0.14}{0.86\time

1.	\(\frac{0.86\times0.86\times0.86 + 0.14\times0.14\times0.14}{0.86\times0.86-0.86+0.14+0.14\times0.14}\) is equal to :(a) 1 (b) 0 (c) 2 (d) 10
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.

\(\frac{0.86\times0.86\times0.86 + 0.14\times0.14\times0.14}{0.86\times0.86-0.86+0.14+0.14\times0.14}\) is equal to :(a) 1 (b) 0 (c) 2 (d) 10

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.