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Factor 21r-28s-21.

Write your answer as a product with a whole number greater than 1.

1 answer

To factor the expression \(21r - 28s - 21\), we first look for the greatest common factor (GCF) of the coefficients of the terms. The coefficients are 21, -28, and -21.

  1. Identify the GCF of 21, 28, and 21:

    • The factors of 21 are: \(1, 3, 7, 21\)
    • The factors of 28 are: \(1, 2, 4, 7, 14, 28\)
    • The common factors are \(1\) and \(7\), so the GCF is \(7\).

  2. Now, we factor out the GCF \(7\) from the expression:

\[ 21r - 28s - 21 = 7(3r - 4s - 3) \]

Thus, the factored form of the expression \(21r - 28s - 21\) is:

\[ 7(3r - 4s - 3) \]

This is a product with a whole number greater than 1.