Question:
Find the value
$y^{3}+125$
Solution:
$=y^{3}+5^{3}$
$\therefore\left[a^{3}+b^{3}=(a+b)\left(a^{2}-a b+b^{2}\right)\right]$
$=(y+5)\left(y^{2}-5 y+5^{2}\right)$
$=(y+5)\left(y^{2}-5 y+25\right)$
$\therefore y^{3}+125=(y+5)\left(y^{2}-5 y+25\right)$
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