développer (((3x-5)^5))/(15)

Solution

développer

\frac{( ( 3 x - 5 ) ^{5} )}{15}

\frac{81 x ^{5}}{5} - 135 x^{4} + 450 x^{3} - 750 x^{2} + 625 x - \frac{625}{3}

étapes des solutions

\frac{( 3 x - 5 ) ^{5}}{15}

(3 x - 5)^{5} = 243 x^{5} - 2025 x^{4} + 6750 x^{3} - 11250 x^{2} + 9375 x - 3125

= \frac{243 x ^{5} - 2025 x ^{4} + 6750 x ^{3} - 11250 x ^{2} + 9375 x - 3125}{15}

Appliquer la règle des fractions:

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

\frac{243 x ^{5} - 2025 x ^{4} + 6750 x ^{3} - 11250 x ^{2} + 9375 x - 3125}{15} = \frac{243 x ^{5}}{15} - \frac{2025 x ^{4}}{15} + \frac{6750 x ^{3}}{15} - \frac{11250 x ^{2}}{15} + \frac{9375 x}{15} - \frac{3125}{15}

= \frac{243 x ^{5}}{15} - \frac{2025 x ^{4}}{15} + \frac{6750 x ^{3}}{15} - \frac{11250 x ^{2}}{15} + \frac{9375 x}{15} - \frac{3125}{15}

\frac{243 x ^{5}}{15} = \frac{81 x ^{5}}{5}

\frac{2025 x ^{4}}{15} = 135 x^{4}

\frac{6750 x ^{3}}{15} = 450 x^{3}

\frac{11250 x ^{2}}{15} = 750 x^{2}

\frac{9375 x}{15} = 625 x

\frac{3125}{15} = \frac{625}{3}

= \frac{81 x ^{5}}{5} - 135 x^{4} + 450 x^{3} - 750 x^{2} + 625 x - \frac{625}{3}

e x p an d \frac{2}{( x ^{2} + 9 ) ^{2}}

e x p an d \frac{e ^{- x}}{x ( x + 2 ) ^{2}}

e x p an d 2 (4 i, 3 j) - (7 i - 6 j,) + 4 (i + 6 j)

e x p an d \frac{( 2 x + 3 y ) x}{y ( 3 x + 4 y )}

e x p an d \frac{9 x + 3}{( x + 1 ) ( x - 1 )}