vereinfachen (0.64x+0.64sqrt(0.5*x^2+3.9))^2

Lösung

vereinfachen

(0.64 \cdot x + 0.64 \cdot 0.5 \cdot x^{2} + 3.9)^{2}

0.6144 x^{2} + 0.8192 x 0.5 x^{2} + 3.9 + 1.59744

Schritte zur Lösung

(0.64 x + 0.64 0.5 x^{2} + 3.9)^{2}

Wende Formel für perfekte quadratische Gleichungen an:

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

(0.64 x + 0.64 0.5 x^{2} + 3.9)^{2} = (0.64 x)^{2} + 2 \cdot 0.64 x \cdot 0.64 0.5 x^{2} + 3.9 + (0.64 0.5 x^{2} + 3.9)^{2}

= (0.64 x)^{2} + 2 \cdot 0.64 x \cdot 0.64 0.5 x^{2} + 3.9 + (0.64 0.5 x^{2} + 3.9)^{2}

Vereinfache

(0.64 x)^{2} + 2 \cdot 0.64 x \cdot 0.64 0.5 x^{2} + 3.9 + (0.64 0.5 x^{2} + 3.9)^{2} : 0.6144 x^{2} + 0.8192 x 0.5 x^{2} + 3.9 + 1.59744

= 0.6144 x^{2} + 0.8192 x 0.5 x^{2} + 3.9 + 1.59744

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

e x p an d 5 (6 + 7)

e x p an d x^{\frac{1}{3}} (x + 8)

s im pl i f y x + h \cdot (- x)

e x p an d x^{3} y d x + (x^{4} + x^{2} y^{2} + y^{4}) d y