# Math Help - I can't do this algebra poblem

1. ## I can't do this algebra poblem

I can't do this algebra problem can anyone help please

(a) Write down an expression of the form

__k__ __K^2__
ax+b + cx+d

where a and c are non-zero, and the denominators are distinct

(b) Add up the terms of the previous part of the equation to obtain a single fraction.

I'm spending way too long at this question and i know i'm doing it all wrong

2. hello
would u please show us your work,so we can see where you went wrong

3. ok it might take me a while to type it out bare with me

4. __k__ + __k^2__
ax+b cx+b

i put a=2 and c=3

__k__ + __k^2__
2x+b 3x+d

_k(3x+d)_ + _k^2(2x+b)_
(2x+b)(3x+d) (2x+b)(3x+d)

__k(3x+d)+k^2(2x+b)__
(2x+b)(3x+d)

i know i've prob gone badly wrong

5. u didn't go wrong,
$\frac{k}{2x+b}+\frac{k^2}{3x+d}=\frac{k(3x+d)}{(2x +b)(3x+d)}$+ $\frac{k^2(2x+b)}{(3x+d)(2x+b)}$ $=\frac{k(3x+d)+k^2(2x+b)}{(2x+b)(3x+d)}$
that is right.

6. oh right so what do i do next to finish the question??

7. well,i didn't get the question quite good,i hope someone else would help you solve it.

8. is it right to have 3kx+kd+2k^2x+k^2b as my top line?

9. Originally Posted by carly1990
is it right to have 3kx+kd+2k^2x+k^2b as my top line?
Yes that is right to have $3kx+kd+2xk^2+bk^2$ as a top line.

10. iv'e got it down too

3kx+xd+2xk^2+bk^2
--------------------
6x^2+xb+2xd+db

i haven't a clue what to do now

11. 3kx+xd+2xk^2+bk^2
--------------------
6x^2+3xb+2xd+db

sorry thats what i got haven't a clue what to do now

12. Originally Posted by carly1990
3kx+xd+2xk^2+bk^2
--------------------
6x^2+3xb+2xd+db

sorry thats what i got haven't a clue what to do now
what do u want to do exactly ?
('cause i don't have a clue either )

13. Originally Posted by Raoh
u didn't go wrong,
$\frac{k}{2x+b}+\frac{k^2}{3x+d}=\frac{k(3x+d)}{(2x +b)(3x+d)}$+ $\frac{k^2(2x+b)}{(3x+d)(2x+b)}$ $=\frac{k(3x+d)+k^2(2x+b)}{(2x+b)(3x+d)}$
that is right.
we already have a single fraction here, $\left [\frac{k(3x+d)+k^2(2x+b)}{(2x+b)(3x+d)} \right ]$

14. so the answer to (a) and (b) are the same??

(a) Write down an expression of the form

__k__ __K^2__
ax+b + cx+d

where a and c are non-zero, and the denominators are distinct

(b) Add up the terms of the previous part of the equation to obtain a single fraction.

15. Originally Posted by carly1990
so the answer to (a) and (b) are the same??

(a) Write down an expression of the form

__k__ __K^2__
ax+b + cx+d

where a and c are non-zero, and the denominators are distinct

(b) Add up the terms of the previous part of the equation to obtain a single fraction.
for (a) i think you must give some values to a,b,c and d ( $a\neq 0$ , $c\neq 0$ ) such that $ax+b\neq cx+d$ and k is any real number(better give it a value too).for (b),see my second post.

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