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(a-b)^2 Expansion and Visualisation

Factorise: x...

Question

Factorise:
$x^{4} - y^{4}$

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Solution

$x^{4} - y^{4}$
$(x - y) (x + y) = x^{2} - y^{2}$
$(x^{2})^{2} - (y^{2})^{2}$
$\Rightarrow (x^{2} - y^{2}) (x^{2} + y^{2})$

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Question 92 (xxiii)

Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$

$x^{4} - y^{4}$

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