# Factor 8a^2+10ab^2+8ab+10b^3

8a2+10ab2+8ab+10b3
Factor 2 out of 8a2+10ab2+8ab+10b3.
Factor 2 out of 8a2.
2(4a2)+10ab2+8ab+10b3
Factor 2 out of 10ab2.
2(4a2)+2(5ab2)+8ab+10b3
Factor 2 out of 8ab.
2(4a2)+2(5ab2)+2(4ab)+10b3
Factor 2 out of 10b3.
2(4a2)+2(5ab2)+2(4ab)+2(5b3)
Factor 2 out of 2(4a2)+2(5ab2).
2(4a2+5ab2)+2(4ab)+2(5b3)
Factor 2 out of 2(4a2+5ab2)+2(4ab).
2(4a2+5ab2+4ab)+2(5b3)
Factor 2 out of 2(4a2+5ab2+4ab)+2(5b3).
2(4a2+5ab2+4ab+5b3)
2(4a2+5ab2+4ab+5b3)
Factor out the greatest common factor from each group.
Group the first two terms and the last two terms.
2((4a2+5ab2)+4ab+5b3)
Factor out the greatest common factor (GCF) from each group.
2(a(4a+5b2)+b(4a+5b2))
2(a(4a+5b2)+b(4a+5b2))
Factor.
Factor the polynomial by factoring out the greatest common factor, 4a+5b2.
2((4a+5b2)(a+b))
Remove unnecessary parentheses.
2(4a+5b2)(a+b)
2(4a+5b2)(a+b)
Factor 8a^2+10ab^2+8ab+10b^3

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