(p²+ 5p + 4) ÷ (p + 1), Factorize the expression and divide them as directed.
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Answered by
46
HEy there!
( p² + p + 4p + 4 ) ÷ ( p + 1 )
p ( p + 1 ) + 4 ( p + 1 ) ÷ ( p + 1 )
( p + 4 ) ( p + 1 ) ÷ ( p + 1 )
= p + 4
Hope my answer helps!
Answered by
26
Solution :
( p² + 5p + 4 )/( p + 1 )
= [ p² + 1p + 4p + 4 ]/( p + 1 )
= [ p( p + 1 ) + 4( p + 1 ) ]/( p + 1 )
= [ ( p + 1 )( p + 4 )]/( p + 1 )
After cancellation , we get
= p + 4
•••••
( p² + 5p + 4 )/( p + 1 )
= [ p² + 1p + 4p + 4 ]/( p + 1 )
= [ p( p + 1 ) + 4( p + 1 ) ]/( p + 1 )
= [ ( p + 1 )( p + 4 )]/( p + 1 )
After cancellation , we get
= p + 4
•••••
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