Add the given polynomials: $x^{3} - x^{2} y + 5 x y^{2} + y^{3}, x^{3} - 9 x y^{2} + y^{3}$ and $3 x^{2} y + 9 x y^{2}$ .

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Solution

Simply add The polynomials by clubing the like terms together:
$x^{3} - x^{2} y + 5 x y^{2} + y^{3} + x^{3} - 9 x y^{2} + y^{3} + 3 x^{2} y + 9 x y^{2}$
Separating the similar terms we get:
$x^{3} + x^{3} - x^{2} y - 9 x y^{2} + 5 x y^{2} + 9 x y^{2} + y^{3} + y^{3}$
Adding the like terms together we have:
$(x^{3} + x^{3}) - x^{2} y + (- 9 x y^{2} + 5 x y^{2} + 9 x y^{2}) + (y^{3} + y^{3})$
The Solution to the given question is : $2 x^{2} - x^{2} y + 5 x y^{2} + 2 y^{2}$

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Similar questions

x^{3} - x^{2} y + 5 x y^{2} + y^{3}, - x^{3} - 9 x y^{2} + y^{3}, 3 x^{2} y + 9 x y^{2}

2 x^{2} y + 5 x y^{2} + 2 y^{3}

x^{3} - x^{2} y + 5 x y^{2} + y^{3}; - x^{3} + y^{3} - 9 x y^{2} and 3 x y^{2} + 9 x^{2} y .

The expansion of ${(x + y)}^{3}$ is

The expansion of ${(x + y)}^{3}$ is $x^{3} + y^{3} + 3 x^{2} y - 3 x y^{2}$

x + y + z = 0

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

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