erweitern ((a+b)^2)/2

Lösung

erweitern

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

\frac{a ^{2}}{2} + ab + \frac{b ^{2}}{2}

Schritte zur Lösung

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

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

= \frac{a ^{2} + 2 ab + b ^{2}}{2}

Wende Bruchregel an:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{a ^{2} + 2 ab + b ^{2}}{2} = \frac{a ^{2}}{2} + \frac{2 ab}{2} + \frac{b ^{2}}{2}

= \frac{a ^{2}}{2} + \frac{2 ab}{2} + \frac{b ^{2}}{2}

Teile die Zahlen:

\frac{2}{2} = 1

= \frac{a ^{2}}{2} + ab + \frac{b ^{2}}{2}

e x p an d t (e^{t} + e^{2 t})

e x p an d \frac{- x ^{2} - 2 x - 4}{( x ^{2} - 4 ) ^{2}}

s im pl i f y 2 (1 + 6)

e x p an d f (x, y) (x^{2} - 3 x y + x - y^{2} + 4) - λ (x + y - 2)

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