Factorise:

Question:

Factorise:
p2 + 6p + 8

Solution:

The given expression is $p^{2}+6 p+8$.

Find two numbers that follow the conditions given below:

Sum $=6$

Product $=8$

Clearly, the numbers are 4 and 2 .

$p^{2}+6 p+8=p^{2}+4 p+2 p+8$

$=p(p+4)+2(p+4)$

$=(p+4)(p+2)$

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