Question

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Answer 1

$x^3+y^3=(x+y)(x^2-xy+y^2)$
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$\frac{a^{33}+1}{a^{11}-a^{22}+a^{33}}=\\\\\frac{(a^{11})^3+1^3}{a^{11}*1-a^{11}*a^{11}+a^{11}*a^{22}}=\\\\\frac{(a^{11}+1)(a^{11*2}-a^{11}*1+1^2)}{a^{11}(a^{22}-a^{11}+1)}=\frac{a^{11}+1}{a^{11}}$