Question

A student is factoring 18x+6x . Find the student's mistake and correct it.

18x+6x=6x(3)

=18x

When the student factored out _____. The student wrote ____ instead of (3 + 1). The correct answer is _____

Answer 1

Answer: 6x(3 + 1)

The student's mistake is in the first step of factoring. Let's correct it:

Original Step:

18x + 6x = 6x(3)

Correction:

18x + 6x = 6x(3 + 1)

The student factored out 6x correctly in the corrected step.

So, when the student factored out 6x, the student wrote (3) instead of (3 + 1). The correct answer is 6x(3 + 1).