erweitern ((x+4)ln(x+4)+39x^{10})^2

Lösung

erweitern

((x + 4) ln (x + 4) + 39 x^{10})^{2}

78 x^{11} ln (x + 4) + 312 x^{10} ln (x + 4) + 1521 x^{20} + x^{2} ln^{2} (x + 4) + 8 x ln^{2} (x + 4) + 16 ln^{2} (x + 4)

Schritte zur Lösung

((x + 4) ln (x + 4) + 39 x^{10})^{2}

Multipliziere aus

(x + 4) ln (x + 4) + 39 x^{10} : x ln (x + 4) + 4 ln (x + 4) + 39 x^{10}

= (x ln (x + 4) + 4 ln (x + 4) + 39 x^{10})^{2}

(x ln (x + 4) + 4 ln (x + 4) + 39 x^{10})^{2} = (x ln (x + 4) + 4 ln (x + 4) + 39 x^{10}) (x ln (x + 4) + 4 ln (x + 4) + 39 x^{10})

= (39 x^{10} + x ln (x + 4) + 4 ln (x + 4)) (39 x^{10} + x ln (x + 4) + 4 ln (x + 4))

Multipliziere aus

(x ln (x + 4) + 4 ln (x + 4) + 39 x^{10}) (x ln (x + 4) + 4 ln (x + 4) + 39 x^{10}) : 78 x^{11} ln (x + 4) + 312 x^{10} ln (x + 4) + 1521 x^{20} + x^{2} ln^{2} (x + 4) + 8 x ln^{2} (x + 4) + 16 ln^{2} (x + 4)

= 78 x^{11} ln (x + 4) + 312 x^{10} ln (x + 4) + 1521 x^{20} + x^{2} ln^{2} (x + 4) + 8 x ln^{2} (x + 4) + 16 ln^{2} (x + 4)

e x p an d (90 - 2 x = 90 - (45)) (45)

e x p an d \frac{- y ^{6} - 9 x ^{2} y ^{4} + 9 x ^{4} y ^{2} + x ^{6}}{( x ^{2} + y ^{2} ) ^{3}}

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

e x p an d \frac{4 ( 1 - x )}{3}

e x p an d d x (2 x - cos (x))