#### Probability

##### Full Member

- Joined
- Jan 26, 2012

- Messages
- 398

\(\displaystyle {2}(\frac{1}{2}{A^2}+\frac{3}{2})=\)

I thought;

\(\displaystyle {2}(\frac{1}{2}{A^2}+\frac{3}{2})={2}\frac{1}{2}{A^2}+{2}\frac{3}{2}\)

Which I thought was multiplying out the brackets. The answer given is \(\displaystyle ({A^2}+{3})\)

My idea now seem to be based around how am I going to cancel down the fractions to end up with \(\displaystyle {+}{3}?\)

So the first thought I had was to convert the mixed fractions to proper fractions (top heavy);

\(\displaystyle \frac{5}{2}{A^2}+\frac{7}{2}=\)

From this point on-wards using trial and error I can end up with \(\displaystyle {A^2}-\frac{3}{5}\) which is obviously incorrect.

If I were to cancel down \(\displaystyle \frac{5}{2}{A^2}={A^2}\) but I can't do the same to \(\displaystyle \frac{7}{2}\) so from this point I'm stuck!!