Im new to algebra and need to know how:
1 + 2/x^2 + 4 can be combined into 1 term
thanks
Are you familiar with adding numerical fractions? If so you know that to add fractions we need to have a common denominator.
Spoiler:
First you may as well say that $\displaystyle 1+4 = 5$ to make our life easier
It is the same principle with algebra, you want to get it so that $\displaystyle 5 \text{ and }\dfrac{2}{x^2}$ have the same denominator. So what would you multiply $\displaystyle \dfrac{5}{1}$ by to get a common denominator?
ok so I tried this:
1 + 2/x^2 + 4 =
1/x^2 + 4 + 2/x^2 + 4 =
then multiplied the top left numerator by the bottom right denominator and added the numerator to get:
x^2 + 6/x^2 + 4
is that the way its done?
I'm extremely confused. Is it:
$\displaystyle 1+\frac{2}{x^2}+4$, or:
$\displaystyle 1+\frac{2}{x^2+4}$
The lack of brackets implies the former; your working out (and logic) implies the latter is actually the case, however.
Check out
http://www.mathhelpforum.com/math-he...orial-266.html
for info on how to make fractions look nice.
But given:
$\displaystyle 1+\frac{2}{x^2+4}$
you are correct.
$\displaystyle \frac{1}{1}*\frac{x^2+4}{x^2+4}+\frac{2}{x^2+4} = $
$\displaystyle \frac{x^2+4}{x^2+4}+\frac{2}{x^2+4} = $
$\displaystyle \frac{x^2+6}{x^2+4}$