Question

show all work dividing 3k^2+1k-2/4k-2 divided by k^2+3k+2/2k^2+5k-3
use complete sentences to explain your process, thank you

Answer 1

3k^2+1k-2 2k^2+5k-3
---------- * ----------
4k - 2 k^2+3k+2

note the second fraction is inverted and process changed to multiply
the next thing is to try to factor the trinomials:

Answer 2

(3k - 2)(k + 1) (2k -1)(k + 3)
------------ * -------------
2(k - 1) (k + 2)(k + 1)

note we can cancel the (k + 1):

= (3k - 2)((2k - 1)(k + 3)
--------------------
2(k - 1)(k + 2)

Answer 3

thank you very much

Answer 4

yw