erweitern (x+2)log_{10}(x^2+1)+log_{10}(x^3+1)

Lösung

erweitern

(x + 2) lo g_{10} (x^{2} + 1) + lo g_{10} (x^{3} + 1)

x lo g_{10} (x^{2} + 1) + lo g_{10} (x^{7} + x^{4} + 2 x^{5} + 2 x^{2} + x^{3} + 1)

Schritte zur Lösung

(x + 2) lo g_{10} (x^{2} + 1) + lo g_{10} (x^{3} + 1)

= lo g_{10} (x^{2} + 1) (x + 2) + lo g_{10} (x^{3} + 1)

Multipliziere aus

lo g_{10} (x^{2} + 1) (x + 2) : x lo g_{10} (x^{2} + 1) + 2 lo g_{10} (x^{2} + 1)

= x lo g_{10} (x^{2} + 1) + 2 lo g_{10} (x^{2} + 1) + lo g_{10} (x^{3} + 1)

Vereinfache

x lo g_{10} (x^{2} + 1) + 2 lo g_{10} (x^{2} + 1) + lo g_{10} (x^{3} + 1) : x lo g_{10} (x^{2} + 1) + lo g_{10} (x^{7} + x^{4} + 2 x^{5} + 2 x^{2} + x^{3} + 1)

= x lo g_{10} (x^{2} + 1) + lo g_{10} (x^{7} + x^{4} + 2 x^{5} + 2 x^{2} + x^{3} + 1)

e x p an d (x y - x^{3} - y^{3}) e^{- x^{2} - y^{2}}

e x p an d \frac{2015 x - x ^{2} - 2014}{2015 ( x ^{2} + 2014 )}

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

e x p an d (x - 2) tan^{2} (3 x - 21)

e x p an d cos (x) sin (x) (tan (x) + csc (x))