What is expand (e^{5m}-f^n)^2 ?

The solution to expand (e^{5m}-f^n)^2 is e^{10m}-2e^{5m}f^n+f^{2n}

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expand (e^{5m}-f^n)^2

expand

(e^{5 m} - f^{n})^{2}

e^{10 m} - 2 e^{5 m} f^{n} + f^{2 n}

Solution steps

(e^{5 m} - f^{n})^{2}

Apply Perfect Square Formula:

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

a = e^{5 m}, b = f^{n}

= (e^{5 m})^{2} - 2 e^{5 m} f^{n} + (f^{n})^{2}

Simplify

(e^{5 m})^{2} - 2 e^{5 m} f^{n} + (f^{n})^{2} : e^{10 m} - 2 e^{5 m} f^{n} + f^{2 n}

= e^{10 m} - 2 e^{5 m} f^{n} + f^{2 n}

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What is expand (e^{5m}-f^n)^2 ?
The solution to expand (e^{5m}-f^n)^2 is e^{10m}-2e^{5m}f^n+f^{2n}