What is expand (x^m-y^n)^2 ?

The solution to expand (x^m-y^n)^2 is x^{2m}-2x^my^n+y^{2n}

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expand (x^m-y^n)^2

expand

(x^{m} - y^{n})^{2}

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

Solution steps

(x^{m} - y^{n})^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

\frac{x ^{2} + 6 x + 9}{2 x ^{2} + 8 x + 6}

f (x + 1)

\frac{1}{16}

(x - 1) (3 x^{2} + 7 x + 5)

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

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