What is (sqrt(m)-sqrt(n))(sqrt(m)+sqrt(n))(m+n)(m^2+n^2) ?

The solution to (sqrt(m)-sqrt(n))(sqrt(m)+sqrt(n))(m+n)(m^2+n^2) is (m-n)(m+n)(m^2+n^2)

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simplify (sqrt(m)-sqrt(n))(sqrt(m)+sqrt(n))(m+n)(m^2+n^2)

simplify

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

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

Solution steps

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

Apply Difference of Two Squares Formula:

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

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

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

Simplify

(m)^{2} - (n)^{2} : m - n

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

(3 u - u + 3) (2 u + u + 3)

(cos (x) + sec (x))^{2} + sin^{2} (x) - tan^{2} (x) + 3

(\frac{1}{2} - \frac{3}{2} i)^{16}

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

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

What is (sqrt(m)-sqrt(n))(sqrt(m)+sqrt(n))(m+n)(m^2+n^2) ?
The solution to (sqrt(m)-sqrt(n))(sqrt(m)+sqrt(n))(m+n)(m^2+n^2) is (m-n)(m+n)(m^2+n^2)