\(\frac{{\left( {0.064 - 0.008} \right)\left( {0.16 - 0.04} \right)}}{{\left( {0.16 + 0.08 + 0.04} \right){{\left( {0.4 + 0.2} \right)}^3}}}\) এর মানটি নির্ণয় করুন।

Let a = 0.4 and b = 0.2. Then 0.064 − 0.008 = a³ − b³ = (a − b)(a² + ab + b²), 0.16 − 0.04 = a² − b² = (a − b)(a + b), and the denominator is (a² + ab + b²)(a + b)³. Cancelling gives (a − b)²(a + b)/(a + b)³ = ((a − b)/(a + b))² = (0.2/0.6)² = 1/9.