vereinfachen ((sqrt(a)+sqrt(b))^2)/(a-b)

Lösung

vereinfachen

\frac{( a + b ) ^{2}}{a - b}

\frac{a + 2 a b + b}{a - b}

Schritte zur Lösung

\frac{( a + b ) ^{2}}{a - b}

Wende Formel für perfekte quadratische Gleichungen an:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(a + b)^{2} = (a)^{2} + 2 a b + (b)^{2}

= \frac{( a ) ^{2} + 2 a b + ( b ) ^{2}}{a - b}

Vereinfache

(a)^{2} + 2 a b + (b)^{2} : a + 2 a b + b

= \frac{a + 2 a b + b}{a - b}

\frac{d ^{2}}{d x ^{2}} ((y) (2 x^{3} - 4 x^{2} + 7 x - 5))

\frac{d ^{2}}{d x ^{2}} ((y) (a cos (2 x) + b sin (2 x)))

e x p an d \frac{450 ( 16 x - 8 )}{8 x ^{2} - 8 x + 5}

e x p an d \frac{2 ω ( ω ^{2} - 4 )}{- 7 ω ^{2} + 3}

e x p an d \frac{( s + 1 )}{( s ^{2} - 4 ) ( s + 5 )}