Answer: \(4x-8=4(x-2)\).
Explanation: Factor out the greatest common factor (GCF) 4 from both terms: \(4x-8=4\cdot x-4\cdot 2=4(x-2)\). Check by distributing: \(4(x-2)=4x-8\).
Other quick examples:
- \(6y+9=3(2y+3)\)
- \(12a^2b-8ab=4ab(3a-2)\)
- \(-5x+15=-5(x-3)\)
- \(9m^2-6m+3=3(3m^2-2m+1)\)
- \(10x^2-25x+5=5(2x^2-5x+1)\)
Tip: always find the GCF of all terms, divide each term by it, and place the GCF outside parentheses.