Factor 8b^2+80b+200

Math
8b2+80b+200
Factor 8 out of 8b2+80b+200.
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Factor 8 out of 8b2.
8(b2)+80b+200
Factor 8 out of 80b.
8(b2)+8(10b)+200
Factor 8 out of 200.
8b2+8(10b)+8⋅25
Factor 8 out of 8b2+8(10b).
8(b2+10b)+8⋅25
Factor 8 out of 8(b2+10b)+8⋅25.
8(b2+10b+25)
8(b2+10b+25)
Factor using the perfect square rule.
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Rewrite 25 as 52.
8(b2+10b+52)
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
10b=2⋅b⋅5
Rewrite the polynomial.
8(b2+2⋅b⋅5+52)
Factor using the perfect square trinomial rule a2+2ab+b2=(a+b)2, where a=b and b=5.
8(b+5)2
8(b+5)2
Factor 8b^2+80b+200

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