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Polynomial and Its General Form

Solve x+y3-...

Question

Solve $(x + y)^{3} - (x - y)^{3}$ .

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Solution

Given expression is $(x + y)^{3} - (x - y)^{3}$
now by using formula we have
$(x^{3} + y^{3} + 3 x^{2} y + 3 x y^{2}) - (x^{3} - y^{3} - 3 x^{2} y + 3 x y^{2})$
$(x^{3} + y^{3} + 3 x^{2} y + 3 x y^{2} - x^{3} + y^{3} + 3 x^{2} y - 3 x y^{2})$
$(y^{3} + 6 x^{2} y)$ . ANS

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Similar questions

\frac{(x - y)^{3} + {(y - z)}^{3} + {(z - x)}^{3}}{9 (x - y) (y - z) (z - x)} = ?

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(x + y)^{3} =

Q. Solve the following equations:

\frac{x^{3} + y^{3}}{(x + y)^{2}} + \frac{x^{3} - y^{3}}{(x - y)^{2}} = \frac{43 x}{8}, 5 x - 7 y = 4

\frac{x^{3} - y^{3}}{x - y}

x = 3

y = 2

.

Q. Solve in integers the equation

x^{2} + y^{2} = (x - y)^{3} .

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