erweitern 3(mx-3m-1)^2

Lösung

erweitern

3 (m x - 3 m - 1)^{2}

3 m^{2} x^{2} - 18 m^{2} x - 6 m x + 27 m^{2} + 18 m + 3

Schritte zur Lösung

3 (m x - 3 m - 1)^{2}

(m x - 3 m - 1)^{2} = m^{2} x^{2} - 6 m^{2} x - 2 m x + 9 m^{2} + 6 m + 1

= 3 (m^{2} x^{2} + 9 m^{2} - 6 m^{2} x + 6 m - 2 m x + 1)

Setze Klammern

= 3 m^{2} x^{2} + 3 (- 6 m^{2} x) + 3 (- 2 m x) + 3 \cdot 9 m^{2} + 3 \cdot 6 m + 3 \cdot 1

Wende Minus-Plus Regeln an

+ (- a) = - a

= 3 m^{2} x^{2} - 3 \cdot 6 m^{2} x - 3 \cdot 2 m x + 3 \cdot 9 m^{2} + 3 \cdot 6 m + 3 \cdot 1

Vereinfache

3 m^{2} x^{2} - 3 \cdot 6 m^{2} x - 3 \cdot 2 m x + 3 \cdot 9 m^{2} + 3 \cdot 6 m + 3 \cdot 1 : 3 m^{2} x^{2} - 18 m^{2} x - 6 m x + 27 m^{2} + 18 m + 3

= 3 m^{2} x^{2} - 18 m^{2} x - 6 m x + 27 m^{2} + 18 m + 3

\frac{\partial}{\partial x} ((z) (3 x^{2} + 6 y^{2} + 4))

\frac{\partial}{\partial x} ((z) (x y + z^{3} - 2 yz))

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

e x p an d (2 x y + 3) d x

e x p an d \frac{5}{x ( x + 5 )}