Respuesta :

Since 7y is common to both factors, therefore the GCF of the expression is 7y. The factored form will be 7y(3x + 2)

Greatest common factor of an expression

The greatest common factor is the value that will divide an expression without leaving a remainder.

Given the expression 21xy + 14y

Find the factors

21xy = 7 * 3 * x * y

14y = 7 * 2* y

From the factors above, it is clear that 7 and y are the greatest common factors.

Since 7y is common to both factors, therefore the GCF of the expression is 7y. The factored form will be 7y(3x + 2)

Learn more on GCF here: https://brainly.com/question/219464

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Factor out

  • 21xy=3×7×y×x
  • 14y=2×7×y

So

  • 7y is common hence 7y is GCF

Now factor up

  • 7y(3x+2)

Option B