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Factorisation Using Algebraic Identities

Factorise:- ...

Question

Factorise:-
$a^{2} - 10 a + 21$

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Solution

$a^{2} - 10 a + 21$

$= a^{2} - 7 a - 3 a + 21$

$= a (a - 7) - 3 (a - 7)$

$= (a - 7) (a - 3)$

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