What is expand (1/4 m-2n)^2 ?

The solution to expand (1/4 m-2n)^2 is (m^2-16mn+64n^2)/(16)

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expand (1/4 m-2n)^2

expand

(\frac{1}{4} m - 2 n)^{2}

\frac{m ^{2} - 16 mn + 64 n ^{2}}{16}

Solution steps

(\frac{1}{4} m - 2 n)^{2}

Apply Perfect Square Formula:

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

(\frac{1}{4} m - 2 n)^{2} = (\frac{1}{4} m)^{2} - 2 \cdot \frac{1}{4} m \cdot 2 n + (2 n)^{2}

= (\frac{1}{4} m)^{2} - 2 \cdot \frac{1}{4} m \cdot 2 n + (2 n)^{2}

Simplify

(\frac{1}{4} m)^{2} - 2 \cdot \frac{1}{4} m \cdot 2 n + (2 n)^{2} : \frac{m ^{2} - 16 mn + 64 n ^{2}}{16}

= \frac{m ^{2} - 16 mn + 64 n ^{2}}{16}

(- 8, - 2) y (2, 18)

A (- 4, - 3) y B (4, 1)

- 4 x^{2} (x^{3} - \frac{3 x}{2} + \frac{5}{12})

(1 + sin (x) + cos (x))^{2}

\frac{1}{( a x + b ) ( a x - 2 b )}

What is expand (1/4 m-2n)^2 ?
The solution to expand (1/4 m-2n)^2 is (m^2-16mn+64n^2)/(16)