Question

If you graph both sides of the equation 2(2x + 3) = 4x + 6, what will the graph look like? The graphs never intersect. The graphs intersect at a single point. The graphs are identical and intersect at infinitely many points. The graphs intersect at exactly two points

Answer 1

The graphs are identical and intersect at infinitely many points.

This is because 2(2x+3) is the same as 4x+6
Distribute the outer 2 to each term inside
2 times 2x = 4x
2 times 3 = 6
So 2(2x+3) simplifies to 4x+6
Or you can think of 4x+6 factoring to 2(2x+3)