1. ## Very basic question

For some reason I am having a memory lapse, but I cannot remember basic algebra at the moment.

Would these hypothetical questions and their solutions be correct?

1. $(2x)(3x) = 6x$
2. $(2x)(1x) = 2x^2$

Thanks

2. the first is incorrect.
when you have like "bases" (the x's), and you multiply, then you add the exponents (the imaginary subscript that are ones).

Or: $a^b\cdot a^b = a^{b + b} = a^{2b}$

So for the first, you just multiply the regular numbers 2 and 3, which equals 6.
then you have $x\cdot x = x^{1 + 1} = x^2$.

The second is good, notice how you applied what I done above.

3. ## incorrect

The first one is incorrect. (2x)(3x) = 6x^2