factors of p2-6p+8are
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The factorize of given expression is
p^2+6p+8=(p + 4)(p + 2)p
2
+6p+8=(p+4)(p+2)
Step-by-step explanation:
Given : Expression p^2+6p+8p
2
+6p+8
To find : Expression factorise?
Solution :
Write the expression as
p^2+6p+8=0p
2
+6p+8=0
Solving the quadratic equation by middle term split,
{p}^{2}+4p+2p+8=0p
2
+4p+2p+8=0
p(p + 4) + 2(p + 4)=0p(p+4)+2(p+4)=0
(p + 4)(p + 2)=0(p+4)(p+2)=0
Therefore, The factorize of given expression is
p^2+6p+8=(p + 4)(p + 2)p
2
+6p+8=(p+4)(p+2)
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