facteur 12w^{18}+18w^{12}-30w^7

Solution

facteur

12 w^{18} + 18 w^{12} - 30 w^{7}

6 w^{7} (w - 1) (2 w^{10} + 2 w^{9} + 2 w^{8} + 2 w^{7} + 2 w^{6} + 2 w^{5} + 5 w^{4} + 5 w^{3} + 5 w^{2} + 5 w + 5)

étapes des solutions

12 w^{18} + 18 w^{12} - 30 w^{7}

Factoriser le terme commun

6 w^{7} : 6 w^{7} (2 w^{11} + 3 w^{5} - 5)

= 6 w^{7} (2 w^{11} + 3 w^{5} - 5)

Factoriser

2 w^{11} + 3 w^{5} - 5 : (w - 1) (2 w^{10} + 2 w^{9} + 2 w^{8} + 2 w^{7} + 2 w^{6} + 2 w^{5} + 5 w^{4} + 5 w^{3} + 5 w^{2} + 5 w + 5)

= 6 w^{7} (w - 1) (2 w^{10} + 2 w^{9} + 2 w^{8} + 2 w^{7} + 2 w^{6} + 2 w^{5} + 5 w^{4} + 5 w^{3} + 5 w^{2} + 5 w + 5)

s im pl i f y \frac{3}{2 3 ( 5 ) + 1}

x + 7 \geq 2 x - 1

0 = x^{2} + x - 2

6 x^{2} - 5 x + 1 = 0

s im pl i f y (3^{2})^{- \frac{3}{2}}