Question
Factorize the following expressions:
$10x^4y - 10xy^4$
$10x^4y - 10xy^4$
✓
Answer
$10x^4y - 10xy^4$
$= 10xy(x^3 - y^3)$
$= 10xy(x - y)(x^2 + xy + y^2)$
$\therefore$ $[x^3 - y^3= (x - y)(x^2 + xy + y^2)]$
$\therefore$ $10x^4y - 10xy^4 = 10xy(x - y)(x^2 + xy + y^2)$
$= 10xy(x^3 - y^3)$
$= 10xy(x - y)(x^2 + xy + y^2)$
$\therefore$ $[x^3 - y^3= (x - y)(x^2 + xy + y^2)]$
$\therefore$ $10x^4y - 10xy^4 = 10xy(x - y)(x^2 + xy + y^2)$
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