Find the value

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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