Question

44. If a - b = 5 and ab = -4, then find a^3 - b^3​

Answer 1

Answer:

$here \: \: \: a = x \: \: \: \: and \: \: b = y \\ \\ \: x - y = 5 \\ xy = - 4 \\ {x}^{3} - {y}^{3} = {(x - y)}^{3} + 3 \times (x - y) \times xy \\ = {5}^{3} + 3 \times 5 \times ( - 4) \\ = 65$