Question
Factorise :
$27 y^3+125 z^3$
$27 y^3+125 z^3$
✓
Answer
$27 y^3+125 z^3$
$\left.=(3 y)^3+(5 z)^3=(3 y+5 z)(3 y)^2-(3 y)(5 z)+(5 z)^2\right\}$
$=(3 y+5 z)\left(9 y^2-15 y z+25 z^2\right)$
$\left.=(3 y)^3+(5 z)^3=(3 y+5 z)(3 y)^2-(3 y)(5 z)+(5 z)^2\right\}$
$=(3 y+5 z)\left(9 y^2-15 y z+25 z^2\right)$
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