What is expand (a^m+a^n)^2 ?

The solution to expand (a^m+a^n)^2 is a^{2m}+2a^{m+n}+a^{2n}

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expand (a^m+a^n)^2

expand

(a^{m} + a^{n})^{2}

a^{2 m} + 2 a^{m + n} + a^{2 n}

Solution steps

(a^{m} + a^{n})^{2}

Apply Perfect Square Formula:

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

(a^{m} + a^{n})^{2} = (a^{m})^{2} + 2 a^{m} a^{n} + (a^{n})^{2}

= (a^{m})^{2} + 2 a^{m} a^{n} + (a^{n})^{2}

Simplify

(a^{m})^{2} + 2 a^{m} a^{n} + (a^{n})^{2} : a^{2 m} + 2 a^{m + n} + a^{2 n}

= a^{2 m} + 2 a^{m + n} + a^{2 n}

- 2 x^{2}

\frac{1}{e} ln (\frac{1}{e})

\frac{10}{20}

\frac{10}{12}

5 x + x^{2}

What is expand (a^m+a^n)^2 ?
The solution to expand (a^m+a^n)^2 is a^{2m}+2a^{m+n}+a^{2n}