What is expand (3m-4n+2p)^2 ?

The solution to expand (3m-4n+2p)^2 is 9m^2-24mn+12mp+16n^2+4p^2-16np

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expand (3m-4n+2p)^2

expand

(3 m - 4 n + 2 p)^{2}

9 m^{2} - 24 mn + 12 m p + 16 n^{2} + 4 p^{2} - 16 n p

Solution steps

(3 m - 4 n + 2 p)^{2}

Apply exponent rule:

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

(3 m - 4 n + 2 p)^{2} = (3 m - 4 n + 2 p) (3 m - 4 n + 2 p)

= (3 m - 4 n + 2 p) (3 m - 4 n + 2 p)

Distribute parentheses

= 3 m \cdot 3 m + 3 m (- 4 n) + 3 m \cdot 2 p - 4 n \cdot 3 m - 4 n (- 4 n) - 4 n \cdot 2 p + 2 p \cdot 3 m + 2 p (- 4 n) + 2 p \cdot 2 p

Simplify

3 m \cdot 3 m + 3 m (- 4 n) + 3 m \cdot 2 p - 4 n \cdot 3 m - 4 n (- 4 n) - 4 n \cdot 2 p + 2 p \cdot 3 m + 2 p (- 4 n) + 2 p \cdot 2 p : 9 m^{2} - 24 mn + 12 m p + 16 n^{2} + 4 p^{2} - 16 n p

= 9 m^{2} - 24 mn + 12 m p + 16 n^{2} + 4 p^{2} - 16 n p

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

\frac{( x ^{2} - y ^{2} )}{2 x - 2 y}

(\frac{1 - 1}{n})^{n}

\frac{x}{12 a + b + 2 x ^{12} a ^{11} + b}

(w^{5} x)^{2}

What is expand (3m-4n+2p)^2 ?
The solution to expand (3m-4n+2p)^2 is 9m^2-24mn+12mp+16n^2+4p^2-16np