Solve (m-n-3f) (m-n-3f)

Evaluate

(m - n - 3 f) (m - n - 3 f)

Multiply the terms

(m - n - 3 f)^{2}

Use (a + b + c)^{2} = a^{2} + b^{2} + c^{2} + 2 ab + 2 a c + 2 b c to expand the expression

m^{2} + (- n)^{2} + (- 3 f)^{2} + 2 m (- n) + 2 m (- 3 f) + 2 (- n) (- 3 f)

Calculate

m^{2} + n^{2} + (- 3 f)^{2} + 2 m (- n) + 2 m (- 3 f) + 2 (- n) (- 3 f)

Calculate

More Steps

m^{2} + n^{2} + 9 f^{2} + 2 m (- n) + 2 m (- 3 f) + 2 (- n) (- 3 f)

Multiply the numbers

m^{2} + n^{2} + 9 f^{2} - 2 mn + 2 m (- 3 f) + 2 (- n) (- 3 f)

Multiply the numbers

More Steps

m^{2} + n^{2} + 9 f^{2} - 2 mn - 6 m f + 2 (- n) (- 3 f)

Solution

More Steps

m^{2} + n^{2} + 9 f^{2} - 2 mn - 6 m f + 6 n f

Simplify the expression