Find the value of the following expression for the given values of variable:
$x^{2} + 15 x y - 10 y^{3}, x = 1, y = - 1$

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Solution

$x^{2} + 15 x y - 10 y^{3}, x = 1, y = - 1$ ………..(i)
Step 1: Put the value of x and y in expression (i), we get
$= 1^{2} + 15 \times 1 \times (- 1) - 10 {(- 1)}^{3} = 1 - 15 + 10 = - 4$
Hence, the value of the above expression is $- 4$

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