Mathematrix: Aufgabenbeispiele/ Binomische Formeln ausmultiplizieren

Multiplizieren Sie folgende binomische Formeln aus:

$\quad$ A) $\ \left(a^{3}-4\right)^{2}\quad$ $\quad$ B) $\ \left(5\ x^{2}+4\ z^{2{,}5}\right)^{2}\quad$ $\quad$ C) $\ \left(7\ w^{3{,}5}+6\ w^{6{,}5}\right)^{2}\quad$
$\quad$ D) $\ (3\ c^{3}-7\ b^{5})(3\ c^{3}+7\ b^{5})\quad$ $\quad$ E) $\ (5\ a^{3}+11\ a^{1{,}5})(5\ a^{3}-11\ a^{1{,}5})\quad$

$\quad$ A) $\ \left(a^{3}-4\right)^{2}=a^{6}-8\ a^{3}+16$
$\quad$ B) $\ \left(5\ x^{2}+4\ z^{2{,}5}\right)^{2}=25\ x^{4}+40\ x^{2}\ z^{2{,}5}+16\ z^{5}\quad$
$\quad$ C) $\ \left(7\ w^{3{,}5}+6\ w^{6{,}5}\right)^{2}=49\ w^{7}+84\ w^{10}+36\ w^{13}\quad$
$\quad$ D) $\ (3\ c^{3}-7\ b^{5})(3\ c^{3}+7\ b^{5})=9\ c^{6}-49\ b^{10}\quad$
$\quad$ E) $\ (5\ a^{3}+11\ a^{1{,}5})(5\ a^{3}-11\ a^{1{,}5})=25\ a^{6}-121\ a^{3}\quad$

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