expand ((1+x)^2)/(100)

الحلّ

expand

\frac{( 1 + x ) ^{2}}{100}

\frac{x ^{2}}{100} + \frac{x}{50} + \frac{1}{100}

خطوات الحلّ

\frac{( 1 + x ) ^{2}}{100}

(1 + x)^{2} = 1 + 2 x + x^{2}

= \frac{1 + 2 x + x ^{2}}{100}

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

: استخدم ميزات الكسور التالية

\frac{1 + 2 x + x ^{2}}{100} = \frac{1}{100} + \frac{2 x}{100} + \frac{x ^{2}}{100}

= \frac{1}{100} + \frac{2 x}{100} + \frac{x ^{2}}{100}

\frac{2 x}{100}

اختزل:

\frac{x}{50}

= \frac{1}{100} + \frac{x}{50} + \frac{x ^{2}}{100}

Rewrite in standard form

= \frac{x ^{2}}{100} + \frac{x}{50} + \frac{1}{100}

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

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

- x (cos (ln (x)) - sin (ln (x)))

(2 x + x^{(2)} e^{(x)})^{(2)}

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