What is expand (x^n+y^n)^2 ?

The solution to expand (x^n+y^n)^2 is x^{2n}+2x^ny^n+y^{2n}

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expand (x^n+y^n)^2

expand

(x^{n} + y^{n})^{2}

x^{2 n} + 2 x^{n} y^{n} + y^{2 n}

Solution steps

(x^{n} + y^{n})^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(x^{n} + y^{n})^{2} = (x^{n})^{2} + 2 x^{n} y^{n} + (y^{n})^{2}

= (x^{n})^{2} + 2 x^{n} y^{n} + (y^{n})^{2}

Simplify

(x^{n})^{2} + 2 x^{n} y^{n} + (y^{n})^{2} : x^{2 n} + 2 x^{n} y^{n} + y^{2 n}

= x^{2 n} + 2 x^{n} y^{n} + y^{2 n}

\frac{( x ^{2} - 2 x + 1 )}{( x ^{2} - 1 )}

m^{2} (n^{2} + 4 n - 5) - m^{4} (n^{2} + 4 n - 5)

a^{3} - a^{2} \cdot b + a \cdot b^{2} - b^{3}

\frac{( a - a )}{( a - 1 )}

(a + b)^{4} + (a - b)^{4}

What is expand (x^n+y^n)^2 ?
The solution to expand (x^n+y^n)^2 is x^{2n}+2x^ny^n+y^{2n}