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Question

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


A
(x+3)(x13)
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B
(x3)(x13)
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C
(x3)(x+13)
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D
(x+3)(x+13)
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Solution

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

Mathematics

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