What is expand (m+2n-3f)^2 ?

The solution to expand (m+2n-3f)^2 is m^2+4mn-6mf+4n^2+9f^2-12nf

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expand (m+2n-3f)^2

expand

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

m^{2} + 4 mn - 6 m f + 4 n^{2} + 9 f^{2} - 12 n f

Solution steps

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

= (m + 2 n - 3 f) (m + 2 n - 3 f)

Distribute parentheses

= mm + m \cdot 2 n + m (- 3 f) + 2 nm + 2 n \cdot 2 n + 2 n (- 3 f) - 3 f m - 3 f \cdot 2 n - 3 f (- 3 f)

Simplify

mm + m \cdot 2 n + m (- 3 f) + 2 nm + 2 n \cdot 2 n + 2 n (- 3 f) - 3 f m - 3 f \cdot 2 n - 3 f (- 3 f) : m^{2} + 4 mn - 6 m f + 4 n^{2} + 9 f^{2} - 12 n f

= m^{2} + 4 mn - 6 m f + 4 n^{2} + 9 f^{2} - 12 n f

x^{2} y^{3} z^{4} + x^{4} y z^{3}

\frac{- 48}{8}

2.4 \cdot 1 0^{3}

ln (2^{n})

\frac{y ^{- 9}}{y}

What is expand (m+2n-3f)^2 ?
The solution to expand (m+2n-3f)^2 is m^2+4mn-6mf+4n^2+9f^2-12nf