Question

Evaluate using suitable identity
0.6×0.6×0.6-0.3×0.3×0.3/0.6×0.6+0.6×0.3+0.3×0.3

Answer 1

$\sf{ \frac{0.6 \times 0.6 \times 0.6 - 0.3 \times 0.3 \times 0.3}{0.6 \times 0.6 + 0.6 \times 0.3 + 0.3 \times 0.3} }$

On taking 0.6 = a and 0.3 = b , the given expression becomes

${\rm{ \frac{a \times a \times a- b \times b \times b}{a \times a+ a \times b + b\times b} }}$

$\sf{ \implies{ \frac{{a}^{3} - {b}^{3} }{ {a}^{2} + ab + {b}^{2} }}}$

$\rm \fbox{ taking \: \: {a}^{3} - {b}^{3} = (a - b)( {a}^{2} +ab + {b}^{2} )}$

$\rm{ \implies{ \frac{(a - b)( \cancel{{a}^{2} +ab + {b}^{2} )} }{ \cancel{{a}^{2} + ab + {b}^{2} }}}}$

$\rm\implies{a - b =0.6 - 0.3 }$

$\rm \fbox{{\therefore a - b =0.3 }}$

Answer 2

Answer:

Hay your answer is 0.3....