Which correctly shows how to use the GCF and the distributive property to find an expression equivalent to \( 8+48 \) ? \( 4(2+6) \) \( 4(8+0) \) \( 8(1+0) \) \( 8(2+0) \)

To find an expression equivalent to \( 8 + 48 \) using the GCF and the distributive property, we first identify the greatest common factor (GCF) of the numbers. The GCF of 8 and 48 is 8. We can factor 8 out of the expression: \[ 8 + 48 = 8(1 + 6) \] This means \( 8 + 48 \) translates into \( 8(1 + 6) \), which is exactly what you'd get if using the GCF effectively. Therefore, the right answer is not listed among the options provided, but if you strategically look at how the numbers are structured, we see how the GCF plays a pivotal role in simplification. When utilizing the distributive property, always remember to first recognize those common factors among your numbers. It's often the key to breaking down problems in a simpler and more manageable way! Plus, practicing this on multiple expressions can sharpen your skills in algebra like a wizard wielding their wand!