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Factorise the following expressions. p^2 +6p+8 ??????????????????

Factorise the following expressions.
p^2 +6p+8 ??????????????????

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5964 Points
7 months ago
Dear Student

p^2+6p+8
We observed that, 8 = 4×2 and 4+2 = 6
p^2+6p+8 can be written as p2+2p+4p+8
Taking Common terms, we get
p^2+6p+8
= p^2+2p+4p+8
= p(p+2)+4(p+2)
Again p+2 is common in both the terms. = (p+2)(p+4)
This implies: p^2+6p+8 = (p+2)(p+4)

Thanks

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