erweitern (x+3/4)^2

Lösung

erweitern

(x + \frac{3}{4})^{2}

\frac{16 x ^{2} + 24 x + 9}{16}

Schritte zur Lösung

(x + \frac{3}{4})^{2}

Wende Formel für perfekte quadratische Gleichungen an:

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

(x + \frac{3}{4})^{2} = x^{2} + 2 x \frac{3}{4} + (\frac{3}{4})^{2}

= x^{2} + 2 x \frac{3}{4} + (\frac{3}{4})^{2}

Vereinfache

x^{2} + 2 x \frac{3}{4} + (\frac{3}{4})^{2} : \frac{16 x ^{2} + 24 x + 9}{16}

= \frac{16 x ^{2} + 24 x + 9}{16}

e x p an d 2 - (sin (x) + cos (y)) 2 - (cos (x) + sin (y)) 2

s im pl i f y (x + 2 - 3) (x + 2 + 3)

e x p an d lo g_{10} (7) (5 y (3 y + 4))

e x p an d \frac{2 ( - x ^{2} - 3 )}{9 ( x ^{2} - 1 ) ^{\frac{5}{3}}}

e x p an d \frac{( - 2 x ^{2} + 18 )}{( x ^{2} + 9 ) ^{2}}