erweitern (12x^2-24x+4)^4*6x-6

Lösung

erweitern

(12 x^{2} - 24 x + 4)^{4} \cdot 6 x - 6

124416 x^{9} - 995328 x^{8} + 3151872 x^{7} - 4976640 x^{6} + 4064256 x^{5} - 1658880 x^{4} + 350208 x^{3} - 36864 x^{2} + 1536 x - 6

Schritte zur Lösung

(12 x^{2} - 24 x + 4)^{4} \cdot 6 x - 6

(12 x^{2} - 24 x + 4)^{4} = 20736 x^{8} - 165888 x^{7} + 525312 x^{6} - 829440 x^{5} + 677376 x^{4} - 276480 x^{3} + 58368 x^{2} - 6144 x + 256

= 6 x (20736 x^{8} - 165888 x^{7} + 525312 x^{6} - 829440 x^{5} + 677376 x^{4} - 276480 x^{3} + 58368 x^{2} - 6144 x + 256) - 6

= 6 x (20736 x^{8} - 165888 x^{7} + 525312 x^{6} - 829440 x^{5} + 677376 x^{4} - 276480 x^{3} + 58368 x^{2} - 6144 x + 256) - 6

Multipliziere aus

6 x (20736 x^{8} - 165888 x^{7} + 525312 x^{6} - 829440 x^{5} + 677376 x^{4} - 276480 x^{3} + 58368 x^{2} - 6144 x + 256) : 124416 x^{9} - 995328 x^{8} + 3151872 x^{7} - 4976640 x^{6} + 4064256 x^{5} - 1658880 x^{4} + 350208 x^{3} - 36864 x^{2} + 1536 x

= 124416 x^{9} - 995328 x^{8} + 3151872 x^{7} - 4976640 x^{6} + 4064256 x^{5} - 1658880 x^{4} + 350208 x^{3} - 36864 x^{2} + 1536 x - 6

e x p an d - \frac{9 y ( y - 1 ) ^{3}}{2}

e x p an d x (ln (x) + 1) + 2 ln (x)

e x p an d \frac{5 ( x + h ) ^{2} + 4 ( x + h )}{h}

e x p an d \frac{9 ( 1 - n ^{3} )}{5}

e x p an d π (\frac{3}{3} + 1)