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Popular >

expand (m-2n)^2

Solution

expand

(m - 2 n)^{2}

Solution

m^{2} - 4 mn + 4 n^{2}

Solution steps

(m - 2 n)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

m^{2} - 2 m \cdot 2 n + (2 n)^{2} : m^{2} - 4 mn + 4 n^{2}

= m^{2} - 4 mn + 4 n^{2}

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Frequently Asked Questions (FAQ)

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