What is expand ,0.5(110-2p)((110-2p)/2) ?

The solution to expand ,0.5(110-2p)((110-2p)/2) is 3025-110p+p^2

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expand ,0.5(110-2p)((110-2p)/2)

expand

0.5 (110 - 2 p) (\frac{110 - 2 p}{2})

3025 - 110 p + p^{2}

Solution steps

0.5 (110 - 2 p) (\frac{110 - 2 p}{2})

Apply rule:

(a) = a

(\frac{110 - 2 p}{2}) = \frac{110 - 2 p}{2}

= 0.5 (110 - 2 p) \frac{110 - 2 p}{2}

= 0.5 \cdot \frac{110 - 2 p}{2} (110 - 2 p)

Apply the distributive law:

a (b - c) = ab - a c

0.5 \cdot \frac{110 - 2 p}{2} (110 - 2 p) = 0.5 \cdot \frac{110 - 2 p}{2} \cdot 110 - 0.5 \cdot \frac{110 - 2 p}{2} \cdot 2 p

= 0.5 \cdot \frac{110 - 2 p}{2} \cdot 110 - 0.5 \cdot \frac{110 - 2 p}{2} \cdot 2 p

Simplify

0.5 \cdot \frac{110 - 2 p}{2} \cdot 110 - 0.5 \cdot \frac{110 - 2 p}{2} \cdot 2 p : 3025 - 110 p + p^{2}

= 3025 - 110 p + p^{2}

\frac{d}{d t} ((x) (3 t - 5))

(1 + e^{- u})^{2}

(9 df - 7) 3

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

y^{2} d x + (x^{2} + x y + y^{2}) d y

What is expand ,0.5(110-2p)((110-2p)/2) ?
The solution to expand ,0.5(110-2p)((110-2p)/2) is 3025-110p+p^2