Question

Simplify the Rational Expression:

Answer 1

\[\frac{ 3x+2 }{ 15x2+16x+4 }\]

Answer 2

Ok so first of all factorize the denominator

Answer 3

can you?

Answer 4

Yes

Answer 5

tell me what you get @GenGen96 ?

Answer 6

(x+6)(x+10)

Answer 7

do you mean to say that;
\[\large{(x+6)(x+10)=15x^2+16x+4}\] ?

Answer 8

check it again @GenGen96

Answer 9

\[(5x+2)(3x+2)\]

Answer 10

good now.. we have
\[\large{\frac{3x+2}{(5x+2)(3x+2)}}\]
can you cancel out like term?

Answer 11

So would it just be \[\frac{ 1 }{ (5x+2) }\]

Answer 12

right

Answer 13

good work

Answer 14

Can you help me find all the numbers that much be excluded from the domain?

Answer 15

Post that as a diff. question that will be answered there

I am sure