Question

Denominators with subtraction of polynomials

Answer 1

\[\frac{ 3 }{ 2s+3 }-\frac{ 7 }{(2s+3^{2})}\]

I can not figure out the steps to take to get the denominators ready for subtraction

Answer 2

Im sorry the exponent 2 is (2s + 3)^2 for the last denominator

Answer 3

to add or subtract fractions, their denominators must be the same; so let's force it.

\[\frac{ 3 }{ 2s+3 }\times \frac{ 2s+3 }{ 2s+3} - \frac{ 7 }{ (2s+3)^2 }\]
\[= \frac{ 6s + 9 - 7 }{ (2s+3)^2 }\]

notie that we multplied by ONE. so nothing really changed

Answer 4

so the final Answer should be 6s+2/(2s+3)^2?

Answer 5

Becuase that is what I keep getting but they say the right answer is 2(3s+1)/(2s+3)^2

Answer 6

What do you get if you factor the GCF out of 6s+2?

Answer 7

;)

Answer 8

3s

Answer 9

Hmmmm..... what is the GCF of 6s + 2?

Answer 10

2

Answer 11

OK, so factor that out:

6s + 2 = 2(?????)

Answer 12

ah yeah I was taking out everything 2(3s+1) brain not working this is why homework is taking forever tonight =p

Answer 13

Heh... ok, so you see now that the answer above is equivalent to the answer you have?

Answer 14

yeap thank you very much