Question

Just help with 2 problems please!

1. What is the simplified form of (5x+4)/(x+7) - (2x+1/(x+7)?
a.(3x+3)/(x+7)
b.(3x+5)/(x+7)
c.(7x+3)/(x+7)
d.(7x+5)/(x+5)

2. What is the simplified form of (y^2+7y+12)/(y^2 + 8y +15)?
a.y-4/y-5
b.y-4/y+5
c.y+4/y-5
d.y+4/y+5

Answer 1

Some one pleaseeeeee help me !

Answer 2

well, the first follows the same concept as:\[\frac ab - \frac cb = \frac{a-c}{b}\]

Answer 3

the second one is a little more complicated, but youd have to know how to factor quadratics

Answer 4

so would the first one be D?

Answer 5

actually I think It would be A correct??

Answer 6

A does look better to me

Answer 7

thank you ! how about the second one ??

Answer 8

do you know how to multiply binomials? alot of places use a method they call "FOIL"

Answer 9

no I don't know how to do that

Answer 10

you must have something you can fall back on; they dont give you these problems in a vaccuum

Answer 11

if we try to conform this to an option we would have be faced with trying to fit a common factor like this
\[\frac{y^2+7y+12}{y^2 + 8y +15}=\frac{(y-4)(y+?)}{(y-5)(y+?)}\]

Answer 12

using each option of course in turn

Answer 13

since the last term is equal to the product of the ... last things ....

12 = -4*?
15 = -5*?

in both cases -3 is a solution; but thats not a guarentee

Answer 14

a and d have the same chances of being correct by that method

Answer 15

so we look to the middle term;

+7y has to be the addition of the last two thingys ...

is -4-3 = 7? no

so that leaves me to believe that it is not A

Answer 16

Thank you so much I think I understand how to do it now!

Answer 17

there are more mathical ways to solve it for sure; but they require you to have studied the material that these question relate to first :) good luck

Answer 18

Thank you :)