développer (10(pi^3+25(pi^2+6)))/(pi^3)

Solution

développer

\frac{10 ( π ^{3} + 25 ( π ^{2} + 6 ) )}{π ^{3}}

10 + \frac{250}{π} + \frac{1500}{π ^{3}}

Décimale

137.95477 \dots

étapes des solutions

\frac{10 ( π ^{3} + 25 ( π ^{2} + 6 ) )}{π ^{3}}

Développer

π^{3} + 25 (π^{2} + 6) : π^{3} + 25 π^{2} + 150

= \frac{10 ( π ^{3} + 25 π ^{2} + 150 )}{π ^{3}}

Développer

10 (π^{3} + 25 π^{2} + 150) : 10 π^{3} + 250 π^{2} + 1500

= \frac{10 π ^{3} + 250 π ^{2} + 1500}{π ^{3}}

Appliquer la règle des fractions:

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

\frac{10 π ^{3} + 250 π ^{2} + 1500}{π ^{3}} = \frac{10 π ^{3}}{π ^{3}} + \frac{250 π ^{2}}{π ^{3}} + \frac{1500}{π ^{3}}

= \frac{10 π ^{3}}{π ^{3}} + \frac{250 π ^{2}}{π ^{3}} + \frac{1500}{π ^{3}}

Annuler

\frac{10 π ^{3}}{π ^{3}} : 10

= 10 + \frac{250 π ^{2}}{π ^{3}} + \frac{1500}{π ^{3}}

Annuler

\frac{250 π ^{2}}{π ^{3}} : \frac{250}{π}

= 10 + \frac{250}{π} + \frac{1500}{π ^{3}}

e x p an d (e^{y} - x)^{2}

e x p an d \frac{( 3 x - 1 ) ( x + 2 )}{( x - 3 ) ^{2}}

e x p an d o p u es t a (- i + 3 k)

s im pl i f y - 52 \cdot (x - 22)

e x p an d 7 (3 + 10)