Question
If (x – 1/x) = 3, find (x³ –
1/x³).Solution
ATQ,
(x – 1/x)³ = x³ – 1/x³ – 3(x – 1/x) 27 = (x³ – 1/x³) – 9 ⇒ x³ – 1/x³ = 36.
More Algebra Questions

What will come in place of (?) in the given expression.
40% of (120 + 80) + 25% of 160 = ?8 × 25% of ? = 400
245 + (45 ÷ 3 + 5) × 6 - 125 = ?
4.004 + 5.7(2.5 – 0.5) =?
1024 ÷ 32 = 2(1/2)×?
22 – 15 + 20 × 18 ÷ 6 – 34 = ?
- What will come in place of the question mark (?) in the following questions?
144÷12+18×2=? 30% of 800 - ?2 = 15
What value should come in place of the question mark (?) in the following question?
468 × 4 − 350 ÷ 7 + 130