Identify GCF: Step Title: Identify the Greatest Common Factor (GCF)Concise Step Description: Find the greatest common factor of the terms in the expression.Step Calculation: The GCF of −24 and −28 is 4. Both terms also have a 'z' variable, so the GCF is 4z.Step Output: GCF: 4z
Factor Out GCF: Step Title: Factor Out the GCFConcise Step Description: Divide each term by the GCF and write the expression as a product of the GCF and the resulting terms.Step Calculation: −24z divided by 4z is −6, and −28x3y4 divided by 4z is −7x3y4z−1 (since there is no 'z' in the second term, we subtract the exponents when dividing).Step Output: Factored expression: 4z(−6−7x3y4z−1)
Simplify Factored Expression: Step Title: Simplify the Factored ExpressionConcise Step Description: Simplify the expression inside the parentheses if possible.Step Calculation: Since there are no like terms inside the parentheses, the expression is already simplified.Step Output: Simplified factored expression: 4z(−6−7x3y4/z)