What is (x+y)^6-x^6 ?

The solution to (x+y)^6-x^6 is 6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+y^6

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simplify (x+y)^6-x^6

simplify

(x + y)^{6} - x^{6}

6 x^{5} y + 15 x^{4} y^{2} + 20 x^{3} y^{3} + 15 x^{2} y^{4} + 6 x y^{5} + y^{6}

Solution steps

(x + y)^{6} - x^{6}

(x + y)^{6} : x^{6} + 6 x^{5} y + 15 x^{4} y^{2} + 20 x^{3} y^{3} + 15 x^{2} y^{4} + 6 x y^{5} + y^{6}

= x^{6} + 6 x^{5} y + 15 x^{4} y^{2} + 20 x^{3} y^{3} + 15 x^{2} y^{4} + 6 x y^{5} + y^{6} - x^{6}

Simplify

x^{6} + 6 x^{5} y + 15 x^{4} y^{2} + 20 x^{3} y^{3} + 15 x^{2} y^{4} + 6 x y^{5} + y^{6} - x^{6} : 6 x^{5} y + 15 x^{4} y^{2} + 20 x^{3} y^{3} + 15 x^{2} y^{4} + 6 x y^{5} + y^{6}

= 6 x^{5} y + 15 x^{4} y^{2} + 20 x^{3} y^{3} + 15 x^{2} y^{4} + 6 x y^{5} + y^{6}

(n^{7})^{11}

9 x^{2} - y^{2} + 6 x + 1

\frac{( 30 z )}{( 9 z ^{2} - 1 )} + \frac{2}{( 3 z - 1 )} - \frac{5}{( 3 z + 1 )}

(x + 2 x^{2})^{6}

\frac{4}{a} - \frac{3}{b}

What is (x+y)^6-x^6 ?
The solution to (x+y)^6-x^6 is 6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+y^6