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

The solution to expand p(n-m-1)^2 is -2nmp+n^2p-2np+m^2p+2mp+p

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expand p(n-m-1)^2

expand

p (n - m - 1)^{2}

- 2 nm p + n^{2} p - 2 n p + m^{2} p + 2 m p + p

Solution steps

p (n - m - 1)^{2}

(n - m - 1)^{2} = - 2 nm + n^{2} - 2 n + m^{2} + 2 m + 1

= p (n^{2} - 2 nm - 2 n + m^{2} + 2 m + 1)

Distribute parentheses

= p (- 2 nm) + p n^{2} + p (- 2 n) + p m^{2} + p \cdot 2 m + p \cdot 1

Apply minus-plus rules

+ (- a) = - a

= - 2 nm p + n^{2} p - 2 n p + m^{2} p + 2 m p + 1 \cdot p

Multiply:

1 \cdot p = p

= - 2 nm p + n^{2} p - 2 n p + m^{2} p + 2 m p + p

4 cos (\frac{4 π}{π})

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

1 + x (- \frac{1}{x} - \frac{y}{2} + 2 y)

\frac{1}{4 x ^{- 2}}

(cot (θ) - 3) (2 sin (θ) + 1)

What is expand p(n-m-1)^2 ?
The solution to expand p(n-m-1)^2 is -2nmp+n^2p-2np+m^2p+2mp+p