Identify Common Factor: Step Title: Identify the Common FactorConcise Step Description: Identify the greatest common factor (GCF) that can be factored out from both terms of the expression.Step Calculation: The GCF of 12x4z3 and 49xyz7 is xyz3.Step Output: GCF: xyz3
Factor Out GCF: Step Title: Factor Out the GCFConcise Step Description: Factor out the GCF from the given expression.Step Calculation: Factoring out xyz3 from 12x4z3+49xyz7 gives xyz3(12x3+49z4).Step Output: Factored Expression: xyz3(12x3+49z4)
Check Further Factoring: Step Title: Check for Further FactoringConcise Step Description: Check if the remaining expression inside the parentheses can be factored further.Step Calculation: The expression inside the parentheses, 12x3+49z4, does not have any common factors and is not a special polynomial that can be factored further (such as a difference of squares or a perfect square trinomial).Step Output: The expression inside the parentheses cannot be factored further.