Practicing Success
If $a -\frac{1}{a-5}= 10$, then the value of $(a — 5)^3 -\frac{1}{(a-5)^3}$ is: |
140 70 100 120 |
140 |
If $a -\frac{1}{a-5}= 10$ then the value of $(a — 5)^3 -\frac{1}{(a-5)^3}$ = ? Subtract 5 on both sides , $a - 5 -\frac{1}{a-5}= 10 - 5$ If $a - 5-\frac{1}{a-5}= 5$ If x - \(\frac{1}{x}\) = n then, $x^3 -\frac{1}{x^3}$ = n3 + 3 × n So, $(a — 5)^3 -\frac{1}{(a-5)^3}$ = 53 + 3 × 5 = 125 + 15 = 140 |