Questions I couldn't answer:

x^2 - 25/25 + 5x

I can factorize the numerator but not the denominator

I'm familiar with factorizing, canceling and expanding but I've never confronted something like 5x + 25 to expand/factorize.

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- Sep 24th 2012, 12:15 PMAshirAlgebraic fractions
Questions I couldn't answer:

x^2 - 25/25 + 5x

I can factorize the numerator but not the denominator

I'm familiar with factorizing, canceling and expanding but I've never confronted something like 5x + 25 to expand/factorize. - Sep 24th 2012, 12:21 PMAshirRe: Algebraic fractions
(2.5 x 10^9)/(5 x 10^3)

in standard form. this isn't algebra but I'm hoping anybody has the patience to answer both.

Write as a single fraction in it's simplest form:

2x/x-1 - 7x-3/x^2-1

Please explain how you got these answers too, in the most efficient method.

Thanks! - Sep 24th 2012, 12:26 PMSironRe: Algebraic fractions
- Sep 24th 2012, 07:11 PMWilmerRe: Algebraic fractions
- Sep 24th 2012, 07:21 PMProve ItRe: Algebraic fractions
- Sep 24th 2012, 07:22 PMMarkFLRe: Algebraic fractions
I am assuming you mean:

$\displaystyle \frac{2x}{x-1}-\frac{7x-3}{x^2-1}$

First, factor the denominators:

$\displaystyle \frac{2x}{x-1}-\frac{7x-3}{(x+1)(x-1)}$

Now it is clear what we need to multiply the numerator and denominator of the first term with to get a common denominator:

$\displaystyle \frac{2x}{x-1}\cdot\frac{x+1}{x+1}-\frac{7x-3}{(x+1)(x-1)}$

Can you finish? - Sep 25th 2012, 04:26 AMWilmerRe: Algebraic fractions
- Sep 25th 2012, 05:55 AMMarkFLRe: Algebraic fractions
- Sep 25th 2012, 08:06 AMAshirRe: Algebraic fractions
How could I not have saw that? Thanks.

Not following you. This area is very new to me, in fact we just started this week.

Nope, you're correcting the questions I didn't get right in an exam :0)

2X x X+1 = 2X+2 right? Or does the constant multiplied with the coefficient of the first term only apply to brackets?

And otherwise I'm lost on what I do next. We're revisiting this area after a year or so. - Sep 25th 2012, 09:05 AMWilmerRe: Algebraic fractions
- Sep 25th 2012, 09:21 AMAshirRe: Algebraic fractions
Forgot to times 2x by x sorry. Lost a good few marks on the exam because of clumsy mistakes

- Sep 25th 2012, 11:49 AMWilmerRe: Algebraic fractions
- Sep 25th 2012, 11:54 AMAshirRe: Algebraic fractions
We say times here in England :P

- Sep 26th 2012, 12:06 PMskeeterRe: Algebraic fractions
- Sep 27th 2012, 08:19 AMAshirRe: Algebraic fractions
Back on topic.