Write three rational expressions that simplify to x/x+1.

Question

jim_thompson5910 · Answer

to get any equivalent expression, all you do is multiply top and bottom by the same number or expression

jim_thompson5910 · Answer

so say you multiply top and bottom by 2, you would get this

x/(x+1)

2x/(2(x+1))

jim_thompson5910 · Answer

does that make sense?

angelwings996 · Answer

Okay, so I can multiply any number to get an equation that will simplify to x/x+1?

jim_thompson5910 · Answer

yes, another example below is multiplying top and bottom by 17

$$\Large \frac{x}{x+1}$$

$$\Large \frac{17x}{17(x+1)}$$

angelwings996 · Answer

Oh okay, thank you! I understand now

jim_thompson5910 · Answer

also, you can use algebraic expressions

so instead of numbers like 2 and 17, you can use expressions like x, x+3, 2x-7, etc etc

jim_thompson5910 · Answer

just as long as you do it to BOTH top and bottom, it will remain equivalent