Question

Simplify
-1/x+2 + x-1/4/ x+3/x+2

Answer 1

is it x-1/4 + x+3/x+2?

Answer 2

or are there fractions in the fraction?

Answer 3

\[\frac{ \frac{ \frac{ -1 }{ x+2 }+\frac{ x-1 }{ 4 } }{ x+3 } }{ x+2 }\]

Answer 4

\[=\frac{ \frac{ -4+(x-1)(x+2) }{ 4(x+2) } }{ \frac{ x+3 }{ x+2 } }\]
\[=\frac{ -4+x^2+2x-x-2 }{ 4(x+2) }\times \frac{ x+2 }{ x+3 }\]
\[\frac{ x^2+x-6 }{ 4 }\times \frac{ 1 }{ x+3 }\]
\[\frac{ (x+3)(x-2) }{ 4 }\times \frac{ 1 }{ x+3 }\]

Answer 5

\[\frac{ x-2 }{ 4 }\]

Answer 6

Missed a few equal signs but you can add them yourselves.

Answer 7

Thank you so much!