Décomposer en facteurs i. \( a^{n+2}-4 a^{n-2} \) ii. \( x^{-n}+x^{-n-3} \) iii. \( u^{4 m}-v^{-2 n} \)

PROVA TU Semplifica la seguente espressione: \begin{tabular}{l}\( \left(-2 a b^{2}\right)^{2} \cdot 5 a^{6} b:\left(-10 a^{6} b^{3}\right) \) \\ \hline\( \left(-2 a b^{2}\right)^{2} \cdot 5 a^{6} b:\left(-10 a^{6} b^{3}\right)= \) \\ \( =+\ldots a^{2} b \cdots \cdot 5 a^{6} b:\left(-10 a^{6} b^{3}\right)= \) \\ \( =\ldots \ldots a^{2+\ldots} b^{\cdots+1}:\left(-10 a^{6} b^{3}\right)= \) \\ \( =+\ldots a \cdots b \cdots:\left(-10 a^{6} b^{3}\right)= \) \\ \( =-\ldots \cdot \frac{1}{10} a^{\cdots-6} b \cdots-\ldots= \) \\ \( =-\ldots a^{2} b \cdots \)\end{tabular}

factorize \( x^{6}-y^{6} \)

Find value of \( i x \), when \( 3^{x}+3^{x}=18 \)

(c) \( (2 x-3 y)^{3} \)

यदि \( x+y+z=0 \) हो तो दिखाइए \( x^{3}+y^{3}+z^{3}=3 x y z \) है।