Question 58 (c)

Subtract:

$- 4 x^{2} y - y^{3}$ from $x^{3} + 3 x y^{2} - x^{2} y .$

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Solution

We have,
$x^{3} + 3 x y^{2} - x^{2} y - (- 4 x^{2} y - y^{3}) = x^{3} + 3 x y^{2} - x^{2} y + 4 x^{2} y + y^{3} = x^{3} + y^{3} + 3 x^{2} y + 3 x y^{2}$

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Question 57 (b)

Add the following expression:

$x^{3} - x^{2} y - x y^{2} - y^{3}$ and $x^{3} - 2 x^{2} y + 3 x y^{2} + 4 y$

Question 60 (a)

What should be subtracted from $2 x^{3} - 3 x^{2} y + 2 x y^{2} + 3 y^{3}$ to get $x^{3} - 2 x^{2} y + 3 x y^{2} + 4 y^{3} ?$

Question 59 (a)

What should be added to $x^{3} + 3 x^{2} y + 3 x y^{2} + y^{3}$ to get $x^{3} + y^{3} ?$

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