# Math Help - Reduce error

1. ## Reduce error

Show that (1+x)2 can be more accurately determined from (x+2)x + 1

Now in (1+x) squared you have to perform 2 multiplications.

In (x+2)x + 1 you perform 1 multiplication and one addition.

Why is one multiplication and one addition better than the square of (x+1)

2. Originally Posted by AUCC
Show that (1+x)2 can be more accurately determined from (x+2)x + 1

Now in (1+x) squared you have to perform 2 multiplications.

In (x+2)x + 1 you perform 1 multiplication and one addition.

Why is one multiplication and one addition better than the square of (x+1)

There is no way of saying that $(x+2)x+ 1$ will be more accurate than $(x+ 1)^2$ without saying what kinds of errors you are talking about. And that may depend upon what numbers x is close to.

3. Oh i failed to mention that when x is very very small and only upto a certain no of decimal places is taken into the calculation.