Simplify (2s+6)/(4s^2+12s+9)

Math
2s+64s2+12s+9
Factor 2 out of 2s+6.
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Factor 2 out of 2s.
2(s)+64s2+12s+9
Factor 2 out of 6.
2s+2⋅34s2+12s+9
Factor 2 out of 2s+2⋅3.
2(s+3)4s2+12s+9
2(s+3)4s2+12s+9
Factor using the perfect square rule.
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Rewrite 4s2 as (2s)2.
2(s+3)(2s)2+12s+9
Rewrite 9 as 32.
2(s+3)(2s)2+12s+32
Check the middle term by multiplying 2ab and compare this result with the middle term in the original expression.
2ab=2⋅(2s)⋅3
Simplify.
2ab=12s
Factor using the perfect square trinomial rule a2+2ab+b2=(a+b)2, where a=2s and b=3.
2(s+3)(2s+3)2
2(s+3)(2s+3)2
Simplify (2s+6)/(4s^2+12s+9)

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