Question

What is the simplified form of 3 over 4x plus 3 + 21 over 8 x squared minus 14x minus 15 ?

6 time the quantity 2 x plus 5 end quantity over the quantity 2x minus 5 end quantity times 4 x plus 3

6 over the quantity 4 x plus 3

6 time the quantity x plus 1 end quantity over the quantity 2x minus 5 end quantity times 4 x plus 3

6 time the quantity x plus 1 end quantity over the quantity 2x plus 5 end quantity times 4 x plus 3

Answer 1

If you could retype this with either parenthesis or using the equation button below please. I would need to see that in order to determine our order of operation.

Answer 2

\[\frac{ 3 }{ 4x+3}+\frac{ 21 }{ 8x^2-14x-15 }\]
like this?

Answer 3

yeah.

Answer 4

can you factor the second denominator? that's the toughest part i think

Answer 5

no.

Answer 6

that's a tough one to factor eh?

Answer 7

i think I'll just factor it for you then help you set up the rest.

Answer 8

\[\frac{ 3 }{ 4x+3 }+\frac{ 21 }{ (4x+3)(2x-5) }\]
does that help?

Answer 9

the first fraction needs to be multipled by (2x-5)/(2x-5) so you have a common denominator

Answer 10

\[\frac{ 3(2x-5) }{ (2x-5)(4x+3) }+\frac{ 21 }{ (2x-5)(4x+3) }=?\]

Answer 11

can you combine the numerators?