Factor 12b^2-12b+3

Math
12b2-12b+3
Factor 3 out of 12b2-12b+3.
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Factor 3 out of 12b2.
3(4b2)-12b+3
Factor 3 out of -12b.
3(4b2)+3(-4b)+3
Factor 3 out of 3.
3(4b2)+3(-4b)+3(1)
Factor 3 out of 3(4b2)+3(-4b).
3(4b2-4b)+3(1)
Factor 3 out of 3(4b2-4b)+3(1).
3(4b2-4b+1)
3(4b2-4b+1)
Factor using the perfect square rule.
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Rewrite 4b2 as (2b)2.
3((2b)2-4b+1)
Rewrite 1 as 12.
3((2b)2-4b+12)
Check the middle term by multiplying 2ab and compare this result with the middle term in the original expression.
2ab=2⋅(2b)⋅-1
Simplify.
2ab=-4b
Factor using the perfect square trinomial rule a2-2ab+b2=(a-b)2, where a=2b and b=-1.
3(2b-1)2
3(2b-1)2
Factor 12b^2-12b+3

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