Question
Factorize the following expressions:
$y^3 + 125$
$y^3 + 125$
✓
Answer
$y^3 + 125 = y^3 + 5^3$
$\therefore$ $[a^3 + b^3 = (a + b)(a^2 - ab + b^2)]$
$= (y + 5)(y^2- 5y + 5^2)$
$= (y + 5)(y^2 - 5y + 25)$
$\therefore$ $y^3 + 125= (y + 5)(y^2 - 5y + 25)$
$\therefore$ $[a^3 + b^3 = (a + b)(a^2 - ab + b^2)]$
$= (y + 5)(y^2- 5y + 5^2)$
$= (y + 5)(y^2 - 5y + 25)$
$\therefore$ $y^3 + 125= (y + 5)(y^2 - 5y + 25)$
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