Question:
Factorise:
y2 + 10y + 24
Solution:
The given expression is $y^{2}+10 y+24$.
Find two numbers that follow the conditions given below:
Sum $=10$
Product $=24$
Clearly, the numbers are 6 and 4 .
$y^{2}+10 y+24=y^{2}+6 y+4 y+24$
$=y(y+6)+4(y+6)$
$=(y+6)(y+4)$
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