Find the value of — $$ \frac{0.05 imes 0.05 imes 0.05 - 0.04 imes 0.04 imes 0.04}{0.05 imes 0.05 + 0.05 imes 0.04 + 0.04 imes 0.04} $$

Question

Find the value of — $$ \frac{0.05 	imes 0.05 	imes 0.05 - 0.04 	imes 0.04 	imes 0.04}{0.05 	imes 0.05 + 0.05 	imes 0.04 + 0.04 	imes 0.04} $$

CIVILSHUB IAS · Accepted Answer

0.01. $$ \frac{(0.05)^3 - (0.04)^3}{(0.05)^2 + (0.05)(0.04) + (0.04)^2} $$ $$ = 0.05 - 0.04 $$ $$ = 0.01 $$ Note – $[a^3-b^3 = (a-b)(a^2+ab+b^2]$

Find the value of — $$ \frac{0.05 \times 0.05 \times 0.05 - 0.04 \times 0.04 \times 0.04}{0.05 \times 0.05 + 0.05 \times 0.04 + 0.04 \times 0.04} $$