Find the value of $x^{3} + y^{3} + 15 x y - 125$ if $x + y = 5$

Open in App

Solution

$x + y = 5$
$(x + y)^{3} = 125$
$x^{3} + y^{3} + 3 x y (x + y) = 125$
$x^{3} + y^{3} + 3 x y (5) - 125 = 0$
$x^{3} + y^{3} + 15 x y - 125 = 0$

Suggest Corrections

Similar questions

if x-y=5 and xy=84,then find the value of x³ - y³

8 x^{3} + y^{3} - 3 x y + 125, if 2 x + y = - 5

x^{3} - 27 y^{3} + 27 x y + 27, i f x = 3 y - 3

x = 1, y = 2

z = 5

x^{3} - y^{3} - z^{3}

If $\frac{x}{y} + \frac{y}{x} = - 1 (x, y \neq 0)$ , find the value of $x^{3} - y^{3}$

x^{3} + y^{3} + z^{3} - 2 x y z

x = \sqrt{7} - \sqrt{5}, y = \sqrt{5} - \sqrt{3}, z = \sqrt{3} - \sqrt{7}

Join BYJU'S Learning Program