Question

Could someone show me how to solve this?

Answer 1

"What is the simplified form of \[\frac{ x + 5 }{ 3x + 4 } + \frac{ x + 4 }{ x + 3 }\] "

Answer 2

\[\frac{ x+5 }{ 3x+4 } + \frac{ x+4 }{ x+3 }\]\[ = \frac{(x+5)(x+3)+(x+4)(3x+4) }{ (3x+4)(x+3) }\]\[=\frac{ x(x+3)+5(x+3)+x(3x+4)+4(3x+4) }{ 3x(x+3)+4(x+3) }\]\[=\frac{ x^2+3x+5x+15+3x^2+4x+12x+16 }{ 3x^2+9x+4x+12 }\]

Can you simplify now?

Answer 3

Yes, thank you so much! Your example is so much easier for me to comprehend than some of the others I've been shown. I think I understand now. Thanks again!

Answer 4

You are always welcome my friend :)