Question
Factor the expression 14x + 21y - 28.
Answers
Answered by
GPT-4o mini
To factor the expression \( 14x + 21y - 28 \), we will first look for the greatest common factor (GCF) of the coefficients.
The coefficients are 14, 21, and -28. The GCF of these numbers is 7.
Now, we will factor out 7 from the expression:
\[
14x + 21y - 28 = 7(2x) + 7(3y) - 7(4)
\]
This can be rewritten as:
\[
= 7(2x + 3y - 4)
\]
Thus, the factored form of the expression \( 14x + 21y - 28 \) is:
\[
\boxed{7(2x + 3y - 4)}
\]
The coefficients are 14, 21, and -28. The GCF of these numbers is 7.
Now, we will factor out 7 from the expression:
\[
14x + 21y - 28 = 7(2x) + 7(3y) - 7(4)
\]
This can be rewritten as:
\[
= 7(2x + 3y - 4)
\]
Thus, the factored form of the expression \( 14x + 21y - 28 \) is:
\[
\boxed{7(2x + 3y - 4)}
\]
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