Simplify (v^2+14v+49)/(v+7)

Math
v2+14v+49v+7
Factor using the perfect square rule.
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Rewrite 49 as 72.
v2+14v+72v+7
Check the middle term by multiplying 2ab and compare this result with the middle term in the original expression.
2ab=2⋅v⋅7
Simplify.
2ab=14v
Factor using the perfect square trinomial rule a2+2ab+b2=(a+b)2, where a=v and b=7.
(v+7)2v+7
(v+7)2v+7
Cancel the common factor of (v+7)2 and v+7.
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Factor v+7 out of (v+7)2.
(v+7)(v+7)v+7
Cancel the common factors.
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Multiply by 1.
(v+7)(v+7)(v+7)⋅1
Cancel the common factor.
(v+7)(v+7)(v+7)⋅1
Rewrite the expression.
v+71
Divide v+7 by 1.
v+7
v+7
v+7
Simplify (v^2+14v+49)/(v+7)

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