Question

*math please help* Simplify.

Answer 1

`Given : ((4x)/(5 + x))/((6x)/(x + 2))`

`\implies (4x)/(5 + x)*(x + 2)/(6x)`

`\implies (2)/(x + 5)*(x + 2)/(3)`

`\implies (2(x + 2))/(3(x + 5))`

`\implies (2x + 4)/(3x + 15)`

Answer 2

`( (4x)/(5 + x) )/( (6x)/(x + 2) ) \\ = (4x)/(5 + x ) ( (x + 2)/(6x) )`

`= \frac{4x^(2) + 8x}{30x + {6x}^(2) } \\ = \frac{2x(2 {x} + 4) }{2x(3 {x}+ 15)} \\ = \frac{2 {x} + 4 }{3 {x} + 15}`