Question

factorise the following expressions.p2+6p+8

Answer 1

${p \: }^{2} + 6p + 8$
$= {p}^{2} + 4p + 2p + 8$
$= p(p + 4) + 2(p + 4)$
$= (p + 4)(p + 2)$

Answer 2

Answer:

The factorize of given expression is

$p^2+6p+8=(p + 4)(p + 2)$

Step-by-step explanation:

Given : Expression $p^2+6p+8$

To find : Expression factorise?

Solution :

Write the expression as

$p^2+6p+8=0$

Solving the quadratic equation by middle term split,

${p}^{2}+4p+2p+8=0$

$p(p + 4) + 2(p + 4)=0$

$(p + 4)(p + 2)=0$

Therefore, The factorize of given expression is

$p^2+6p+8=(p + 4)(p + 2)$