erweitern 4(mx-m+4)^2

Lösung

erweitern

4 (m x - m + 4)^{2}

4 m^{2} x^{2} - 8 m^{2} x + 32 m x + 4 m^{2} - 32 m + 64

Schritte zur Lösung

4 (m x - m + 4)^{2}

(m x - m + 4)^{2} = m^{2} x^{2} - 2 m^{2} x + 8 m x + m^{2} - 8 m + 16

= 4 (m^{2} x^{2} + m^{2} - 2 m^{2} x + 8 m x - 8 m + 16)

Setze Klammern

= 4 m^{2} x^{2} + 4 (- 2 m^{2} x) + 4 \cdot 8 m x + 4 m^{2} + 4 (- 8 m) + 4 \cdot 16

Wende Minus-Plus Regeln an

+ (- a) = - a

= 4 m^{2} x^{2} - 4 \cdot 2 m^{2} x + 4 \cdot 8 m x + 4 m^{2} - 4 \cdot 8 m + 4 \cdot 16

Vereinfache

4 m^{2} x^{2} - 4 \cdot 2 m^{2} x + 4 \cdot 8 m x + 4 m^{2} - 4 \cdot 8 m + 4 \cdot 16 : 4 m^{2} x^{2} - 8 m^{2} x + 32 m x + 4 m^{2} - 32 m + 64

= 4 m^{2} x^{2} - 8 m^{2} x + 32 m x + 4 m^{2} - 32 m + 64

e x p an d e^{x + 0.6} - 2 \cdot (x + 0.7)^{2}

e x p an d d (t (1 - t) (1 - 2 t)) + a (t (1 - t) (1 - 2 t))

e x p an d \frac{( 12 v ^{3} + 38 v ^{2} - 16 v - 20 )}{( 6 v - 5 )}

e x p an d \frac{- 3 x ^{2} - 4 x - 5}{x ( x + 1 ) ( x - 5 )}

e x p an d (\frac{( 16 x + 1 )}{2})^{2}