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Subjects>Math>Algebra

What is the greatest common factor of 5ab and 56b squared?

Anonymous

∙ 9y ago

Updated: 4/28/2022

The GCF of 5ab and 56b squared is b.

Wiki User

∙ 9y ago

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Q: What is the greatest common factor of 5ab and 56b squared?

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Two numbers that when added equal 56 and when multiplied equal 783?

X + Y = 56 [therefore] X = 56 - Y XY = 783 [therefore] (56 - Y)(Y) = 783 56Y - Y^2 = 783 solve for Y, then don't forget to plug Y back into the original and find "X" (X = 56 - Y ) a+b = 56 AND: ab = 783 substitution: a = 56-b (from addition equation) put this back into the multiplication equation: (56-b)b = 783 expansion: 56b -b^2 = 783 rearrange: -b^2 + 56b - 783 quadratic formula: b = (-56+sqrt(3136-4(-1)(-783))) / -2 and b = (-56-sqrt(3136-4(-1)(-783))) / -2 b=27 and b=29 from the addition equation: 56-27 = a=29 56-29 = a =27 it's kind of a "repeat" question

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