Practicing Success
If $\frac{a}{b}+\frac{b}{a}$ = 0 a ≠ 0, b ≠ 0, then the value of $6(a^3 - b^3)$ is : |
6 3 0 1 |
0 |
If $\frac{a}{b}+\frac{b}{a}$ = 0 a ≠ 0, b ≠ 0 then the value of $6(a^3 - b^3)$ = ? If $\frac{a}{b}+\frac{b}{a}$ = 0 \(\frac{a^2 + b^2}{ab}\) = 0 a2 + b2 = 0 ( a - b )2 = a2 + b2 - 2ab ( a - b )2 = 0 - 0 = 0 a - b = 0 we know, a3 - b3 = ( a - b ) ( a2 + b2 + ab ) 6(a3 - b3) = 6( 0) ( a2 + b2 + ab ) 6(a3 - b3)= 0 |