Question 91 (iii)

Factorise the following:

$y^{2} + 18 y + 65$

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Solution

We have, $y^{2} + 18 y + 65$
$= y^{2} + 13 y + 5 y + 5 \times 13 = y (y + 13) + 5 (y + 13) = (y + 13) (y + 5)$

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Question 91 (iii)

Factorise the following:

$y^{2} + 18 y + 65$

y^{2} - 18 y + 81

Question 91 (iv)

Factorise the following:

$p^{2} + 14 p + 13$

p^{2} - 13 p - 30

p^{2} - 16 p - 80

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