Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression −48yz4 and 36xy2z3.The GCF is the product of the smallest powers of common factors in the terms. Both terms have a factor of 12, y, and z3.GCF = 12yz3
Factor out GCF: Factor out the GCF from each term in the expression.−48yz4+36xy2z3=12yz3(−4z)+12yz3(3xy)
Combine factored terms: Combine the factored terms into a single expression. 12yz3(−4z+3xy)
Check for factors: Check for any additional common factors or factorable expressions within the parentheses.The terms inside the parentheses, −4z and 3xy, do not have any common factors, and the expression inside the parentheses is not factorable.
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