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Factorisation Using Algebraic Identities

Factorise: ...

Question

Factorise: $x^{2} - 16 x + 39$

A

(x + 3) (x - 13)

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B

(x - 3) (x - 13)

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C

(x - 3) (x + 13)

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D

(x + 3) (x + 13)

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Solution

The correct option is A $(x - 3) (x - 13)$
We can write $x^{2} - 16 x + 39$
$= x^{2} - 13 x - 3 x + 39$
$= x (x - 13) - 3 (x - 13)$
$= (x - 13) (x - 3)$
Hence, option B is correct.

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