ANSWER: x 8xy^3=x(1 8y^3) =x(1^3 (2y)^3) =x(1 2y)(1^2+1×2y+(2y)^2 =x(1 2y)(1+2y+4y^2) ...

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Algebraic Identities

Factorise x-8...

Question

Factorise
$x - 8 x y^{3}$

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Solution

ANSWER:
$x - 8 x y^{3} = x (1 - 8 y^{3})$
= $x (1^{3} - (2 y)^{3})$
= $x (1 - 2 y) (1^{2} + 1 \times 2 y + (2 y)^{2}$
= $x (1 - 2 y) (1 + 2 y + 4 y^{2})$

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