Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression. The terms are 32 and −28x. The GCF of 32 and 28 is 4.
Factor out GCF: Factor out the GCF from each term in the expression. The GCF is 4, so we divide each term by 4. This gives us 4(8)−4(7x).
Write factored expression: Write the factored expression. After factoring out the GCF, the expression becomes 4(8−7x).
Check factored expression: Check the factored expression by distributing the GCF back into the parentheses to ensure it gives the original expression. Multiplying 4 by each term inside the parentheses gives us 4×8−4×7x, which simplifies to 32−28x. This matches the original expression, so there is no math error.
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