Verified Answer :

\(21x-14y \\ \\ GCF = 7 \\ \\ 7( \frac{21x}{7} + \frac{-14y}{7} ) \ / \ factor \ out \ gcf \\ \\ 7(3x - 2y) \ / \ simplify \\ \\ Answer: \fbox {7 (3x - 2y)}\)

The factored form is expressed as 7(3x - 2y)

Factorization

Given the equation 21x - 14y. Get the factors of each term;

Get the factor

  • 21x = 3 7 x
  • 14y = 7 2 y

From the factors, you can see that 7 is common to both terms, hence the factored form is expressed as:

7(3x - 2y)

Hence the factored form is expressed as 7(3x - 2y)

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