Question:
Factorise:
y2 + 19y + 60
Solution:
The given expression is $y^{2}+19 y+60$.
Find two numbers that follow the conditions given below:
Sum $=19$
Product $=60$
Clearly, the numbers are 15 and $4 .$
$y^{2}+19 y+60=y^{2}+15 y+4 y+60$
$=y(y+15)+4(y+15)$
$=(y+15)(y+4)$
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