What is (x+y)^5-x^5-y^5 ?

The solution to (x+y)^5-x^5-y^5 is 5x^4y+10x^3y^2+10x^2y^3+5xy^4

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simplify (x+y)^5-x^5-y^5

simplify

(x + y)^{5} - x^{5} - y^{5}

5 x^{4} y + 10 x^{3} y^{2} + 10 x^{2} y^{3} + 5 x y^{4}

Solution steps

(x + y)^{5} - x^{5} - y^{5}

(x + y)^{5} : x^{5} + 5 x^{4} y + 10 x^{3} y^{2} + 10 x^{2} y^{3} + 5 x y^{4} + y^{5}

= x^{5} + 5 x^{4} y + 10 x^{3} y^{2} + 10 x^{2} y^{3} + 5 x y^{4} + y^{5} - x^{5} - y^{5}

Simplify

x^{5} + 5 x^{4} y + 10 x^{3} y^{2} + 10 x^{2} y^{3} + 5 x y^{4} + y^{5} - x^{5} - y^{5} : 5 x^{4} y + 10 x^{3} y^{2} + 10 x^{2} y^{3} + 5 x y^{4}

= 5 x^{4} y + 10 x^{3} y^{2} + 10 x^{2} y^{3} + 5 x y^{4}

\frac{o x ^{2}}{49}

b^{3} - 8 c^{3}

9 x^{\frac{3}{2}} \cdot (3 x)^{\frac{- 1}{2}}

\frac{( 9 + 12 a + 4 a ^{2} )}{( b ^{2} )}

\frac{100}{2 x [ 47 - ( 30 - 2 ^{3} ) ]}

What is (x+y)^5-x^5-y^5 ?
The solution to (x+y)^5-x^5-y^5 is 5x^4y+10x^3y^2+10x^2y^3+5xy^4