Y^2+19y+60 =y^2+15y+4y+60 ∵ 60=15 × 4 amp; 19=15+4 amp; =y(y+15)+4(y+15) =(y+15)(y+4) ...

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Factorisation by Regrouping Terms

Factorise: y2...

Question

Factorise:
$y^{2} + 19 y + 60$

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Solution

$y^{2} + 19 y + 60 = y^{2} + 15 y + 4 y + 60 {\begin{matrix} ∵ 60 = 15 \times 4 19 = 15 + 4 \end{matrix}} = y (y + 15) + 4 (y + 15) = (y + 15) (y + 4)$

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