Question

evaluate the following

Answer 1

$\Longrightarrow{\boxed{\bold{Answer: 5 }}}$

$\textbf{\underline{Step-by-step explanation :- }}$

Let's take 5.05 as x and 0.05 as y for sake of convenience.

$= \frac{x \times x \times x - y \times y \times y}{x \times x + x \times y + y \times y} \\ \\ = \frac{ {x}^{3} - {y}^{3} }{ {x}^{2} + xy + {y}^{2} }$

Since we know that,

a³ - b³ = ( a - b )( a² + ab + b² )

$= \frac{(x - y)( {x}^{2} + xy - {y}^{2}) }{( {x}^{2} +xy + {y}^{2} )} \\ \\ = x - y = 5.05 - 0.05 \\ \\ = > 5$