can anyone simplify this for me or possibly run me through how to simplify it?
4x + 2 / x² + 4x + 3 * x + 3 / 7x + 5
Thank you
Is this supposed to be
$\displaystyle \frac{4x + 2}{x^2 + 4x + 3} \cdot \frac{x + 3}{7x + 5}$?
Then the above is equal to:
$\displaystyle = \frac{2(2x + 1)}{(x + 1)(x + 3)} \cdot \frac{x + 3}{7x + 5}$
Notice the common x + 3 in the numerator and denominator. So....
$\displaystyle = \frac{2(2x + 1)}{x + 1} \cdot \frac{1}{7x + 5}$
$\displaystyle = \frac{2(2x + 1)}{(x + 1)(7x + 5)}$
-Dan
As with the last example, start by factoring:
$\displaystyle \frac{3}{x + 2} \cdot \frac{2x + 4}{x} = \frac{3}{x + 2} \cdot \frac{2(x + 2)}{x}$
As for how to write it, what we were referring to was writing your expressions something like this:
3/(x + 2) times (2x + 4)/x
as opposed to
3/x + 2 times 2x + 4/x
which is confusing.
-Dan