Problem

Factor the expression by using the GCF:
\[
45 z+50
\]

Answer

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Answer

Final Answer: The factored expression is \(\boxed{5(9z + 10)}\).

Steps

Step 1 :Identify the greatest common factor (GCF) of 45 and 50. The GCF is the largest number that divides both numbers without leaving a remainder. In this case, the GCF of 45 and 50 is 5.

Step 2 :Factor the expression \(45z + 50\) by dividing each term by the GCF. This gives us the factored expression \(5(9z + 10)\).

Step 3 :Final Answer: The factored expression is \(\boxed{5(9z + 10)}\).

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