Question

answer this question​

Answer 1

$\mathfrak {\underline{\underline{Answer :-}}}$

$<b>The answer is 1 .</b>$

$\mathfrak {\underline{\underline{Explanation :-}}}$

$\sf {Let \: : \: \dfrac {0.85 \times 0.85\times 0.85 + 0.15\times 0.15 \times 0.15}{0.85 \times 0.85 - 0.85 \times 0.15 + 0.15 \times 0.15}\:=\:x}\\\\\\ \sf {Let \: : \: 0.85 \: = \: a \:,\:0.15\:=\:b}\\\\\\ \sf {\implies \dfrac {a\times a\times a + b\times b\times b}{a \times a - a \times b + b\times b}\: = \: x}\\\\\\ \sf {\implies \dfrac {a^{3} + b^{3}}{a^{2} - ab +b^{2}}\: = \: x}\\\\\\ \sf {\implies \dfrac {(a + b) (a^{2} - ab + b^{2})}{a^{2} - ab +b^{2}}\: = \: x}\\\\\\ \sf {\implies \dfrac {(a + b) \cancel {(a^{2} - ab + b^{2})}} {\cancel {a^{2} - ab + b^{2}}}\: = \: x} \\\\\\ \sf {\implies ( a + b ) \: = \: x} \\\\\\ \textsf{Now, Substituting value of a and b, we get :} \\\\\\ \sf { \implies x = 0.85 + 0.15} \\\\\\ \sf {\implies x = 1}\\\\\\ \sf {\therefore \dfrac {0.85 \times 0.85\times 0.85 + 0.15\times 0.15 \times 0.15}{0.85 \times 0.85 - 0.85 \times 0.15 + 0.15 \times 0.15}\:=\:1}$

Answer 2

Answer:

1 is the answer

$\mathfrak {\underline {\underline {Step-by-step-explanation}}}$\\

$\begin{lgathered}\sf \dfrac {0.85 \times 0.85\times 0.85 + 0.15\times 0.15 \times 0.15}{0.85 \times 0.85 - 0.85 \times 0.15 + 0.15 \times 0.15}\:=\:x}\\ \sf { 0.85 \: = \: a \:,\:0.15\:=\:b}\\ \sf {\implies \dfrac {a\times a\times a + b\times b\times b}{a \times a - a \times b + b\times b}\: = \: x}\\ \sf {\implies \dfrac {a^{3} + b^{3}}{a^{2} - ab +b^{2}}\: = \: x}\\ \sf {\implies \dfrac {(a + b) (a^{2} - ab + b^{2})}{a^{2} - ab +b^{2}}\: = \: x}\\ \sf {\implies \dfrac {(a + b) \cancel {(a^{2} - ab + b^{2})}} {\cancel {a^{2} - ab + b^{2}}}\: = \: x} \\ \sf {\implies ( a + b ) \: = \: x} \\ \textsf{ Substituting a and b}\ \sf { \implies x = 0.85 + 0.15} \ \sf {\implies x = 1}\\ \sf {\therefore \dfrac {0.85 \times 0.85\times 0.85 + 0.15\times 0.15 \times 0.15}{0.85 \times 0.85 - 0.85 \times 0.15 + 0.15 \times 0.15}\:=\:1}\end{lgathered}$