erweitern (sin(x)+xcos(x))(x+cos(x))

Lösung

erweitern

(sin (x) + x cos (x)) (x + cos (x))

x sin (x) + cos (x) sin (x) + x^{2} cos (x) + x cos^{2} (x)

Schritte zur Lösung

(sin (x) + x cos (x)) (x + cos (x))

Apply FOIL method

(sin (x) + x cos (x)) (x + cos (x)) : x sin (x) + cos (x) sin (x) + x^{2} cos (x) + x cos^{2} (x)

= x sin (x) + cos (x) sin (x) + x^{2} cos (x) + x cos^{2} (x)

e x p an d P_{15} (P_{6} + P_{7} x + x^{2})^{3}

e x p an d (tan (x) - 4) (tan (x) + 4) (tan (x) - 2) (tan (x) + 2)

s im pl i f y 5 x (x - 8 x)

e x p an d \frac{2 ( - x ^{2} + 7 )}{( x ^{2} + 7 ) ^{2}}

e x p an d (1 + ln (2))^{3}