Factor 8p^2+24p+18

Math
8p2+24p+18
Factor 2 out of 8p2+24p+18.
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Factor 2 out of 8p2.
2(4p2)+24p+18
Factor 2 out of 24p.
2(4p2)+2(12p)+18
Factor 2 out of 18.
2(4p2)+2(12p)+2(9)
Factor 2 out of 2(4p2)+2(12p).
2(4p2+12p)+2(9)
Factor 2 out of 2(4p2+12p)+2(9).
2(4p2+12p+9)
2(4p2+12p+9)
Factor using the perfect square rule.
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Rewrite 4p2 as (2p)2.
2((2p)2+12p+9)
Rewrite 9 as 32.
2((2p)2+12p+32)
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
12p=2⋅(2p)⋅3
Rewrite the polynomial.
2((2p)2+2⋅(2p)⋅3+32)
Factor using the perfect square trinomial rule a2+2ab+b2=(a+b)2, where a=2p and b=3.
2(2p+3)2
2(2p+3)2
Factor 8p^2+24p+18

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