Factor 5c^2+20c+20

Math
5c2+20c+20
Factor 5 out of 5c2+20c+20.
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Factor 5 out of 5c2.
5(c2)+20c+20
Factor 5 out of 20c.
5(c2)+5(4c)+20
Factor 5 out of 20.
5c2+5(4c)+5⋅4
Factor 5 out of 5c2+5(4c).
5(c2+4c)+5⋅4
Factor 5 out of 5(c2+4c)+5⋅4.
5(c2+4c+4)
5(c2+4c+4)
Factor using the perfect square rule.
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Rewrite 4 as 22.
5(c2+4c+22)
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
4c=2⋅c⋅2
Rewrite the polynomial.
5(c2+2⋅c⋅2+22)
Factor using the perfect square trinomial rule a2+2ab+b2=(a+b)2, where a=c and b=2.
5(c+2)2
5(c+2)2
Factor 5c^2+20c+20

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