What is expand (P(x-i)^2)/2 ?

The solution to expand (P(x-i)^2)/2 is (-P+Px^2)/2-iPx

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (P(x-i)^2)/2

expand

\frac{P ( x - i ) ^{2}}{2}

\frac{- P + P x ^{2}}{2} - i P x

Solution steps

\frac{P ( x - i ) ^{2}}{2}

(x - i)^{2} = x^{2} - 2 i x - 1

= \frac{P ( x ^{2} - 2 i x - 1 )}{2}

Expand

P (x^{2} - 2 i x - 1) : P x^{2} - 2 i P x - P

= \frac{P x ^{2} - 2 i P x - P}{2}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{P x ^{2} - 2 i P x - P}{2} = \frac{P x ^{2}}{2} - \frac{2 i P x}{2} - \frac{P}{2}

= \frac{P x ^{2}}{2} - \frac{2 i P x}{2} - \frac{P}{2}

Divide the numbers:

\frac{2}{2} = 1

= \frac{P x ^{2}}{2} - i P x - \frac{P}{2}

Rewrite

\frac{P x ^{2}}{2} - i P x - \frac{P}{2}

in standard complex form:

\frac{P x ^{2} - P}{2} - P x i

= \frac{P x ^{2} - P}{2} - P x i

cos (2 t) [h (t - \frac{π}{2})]

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

- \frac{x + 1}{x ^{2} ( x + 4 ) ^{2}}

(200 - e) \cdot 50

\frac{9}{( x + 1 ) ^{2}}

What is expand (P(x-i)^2)/2 ?
The solution to expand (P(x-i)^2)/2 is (-P+Px^2)/2-iPx