Bot GPT 4-o mini To factor the expression \(35z + 56\), we first need to find the greatest common factor (GCF) of the coefficients 35 and 56.
The prime factorization of 35 is: \[ 35 = 5 \times 7 \]
The prime factorization of 56 is: \[ 56 = 2^3 \times 7 \]
The GCF of 35 and 56 is \(7\).
Now, we can factor out the GCF from the expression:
\[ 35z + 56 = 7(5z) + 7(8) \]
This can be written as:
\[ 35z + 56 = 7(5z + 8) \]
Therefore, the factored form of \(35z + 56\) is:
\[ \boxed{7(5z + 8)} \]
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