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expand ((x-1)(x+1))/(x^3)

الحلّ

expand

\frac{( x - 1 ) ( x + 1 )}{x ^{3}}

الحلّ

\frac{1}{x} - \frac{1}{x ^{3}}

خطوات الحلّ

\frac{( x - 1 ) ( x + 1 )}{x ^{3}}

(x - 1) (x + 1)

وسٌع:

x^{2} - 1

= \frac{x ^{2} - 1}{x ^{3}}

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

: استخدم ميزات الكسور التالية

\frac{x ^{2} - 1}{x ^{3}} = \frac{x ^{2}}{x ^{3}} - \frac{1}{x ^{3}}

= \frac{x ^{2}}{x ^{3}} - \frac{1}{x ^{3}}

\frac{x ^{2}}{x ^{3}}

اختزل:

\frac{1}{x}

= \frac{1}{x} - \frac{1}{x ^{3}}

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