Factor 7c^2+14c+7

Math
7c2+14c+7
Factor 7 out of 7c2+14c+7.
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Factor 7 out of 7c2.
7(c2)+14c+7
Factor 7 out of 14c.
7(c2)+7(2c)+7
Factor 7 out of 7.
7(c2)+7(2c)+7(1)
Factor 7 out of 7(c2)+7(2c).
7(c2+2c)+7(1)
Factor 7 out of 7(c2+2c)+7(1).
7(c2+2c+1)
7(c2+2c+1)
Factor using the perfect square rule.
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Rewrite 1 as 12.
7(c2+2c+12)
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
2c=2⋅c⋅1
Rewrite the polynomial.
7(c2+2⋅c⋅1+12)
Factor using the perfect square trinomial rule a2+2ab+b2=(a+b)2, where a=c and b=1.
7(c+1)2
7(c+1)2
Factor 7c^2+14c+7

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