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Algebraic Identities

Factorise: x2...

Question

Factorise:
$x^{2} - y^{2} + 6 y - 9$

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Solution

X² - y² + 6y - 9

= x² - ( y² - 6y + 9)

=x² - ( y² -2.3.y + 3²)

= x² - ( y - 3)²

=( x - y +3)( x + y - 3)

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