Question

factor 24x - 64 using the gcf 6(4x - 12) 24(x - 3) 8(3x - 8) 12(2x - 5)

Explanation:

Step1: Find GCF of 24 and 64

Factors of 24: $1,2,3,4,6,8,12,24$
Factors of 64: $1,2,4,8,16,32,64$
Greatest common factor (GCF) = $8$

Step2: Factor out GCF from expression

Divide each term by 8:
$24x \div 8 = 3x$, $64 \div 8 = 8$
So $24x - 64 = 8(3x - 8)$

Step3: Verify other options

• $6(4x-12)=24x-72

eq 24x-64$

• $24(x-3)=24x-72

eq 24x-64$

• $12(2x-5)=24x-60

eq 24x-64$

Answer:

$8(3x - 8)$