In math, factoring or factorization is used to write an algebraic expression in factors. There are some rules for factorization. One of them is a factor out a common term for example: x²-x= x(x-1), where x is a common term.

You should factor the given expression.

$2-\frac{x+3}{x+1}-\frac{x-5}{x-1}\\ \\ 2+\frac{-\left(x+3\right)\left(x-1\right)-\left(x-5\right)\left(x+1\right)}{\left(x+1\right)\left(x-1\right)}\\ \\ \mathrm{Apply\:the\:fraction\:rule}:\quad \:a+\frac{b}{c}=\frac{ac+b}{c}\\ \\ \frac{2\left(x+1\right)\left(x-1\right)-\left(x+3\right)\left(x-1\right)-\left(x-5\right)\left(x+1\right)}{\left(x+1\right)\left(x-1\right)}\\ \\ \frac{2x+6}{\left(x+1\right)\left(x-1\right)}=\frac{2x+6}{x^2-1}$

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4 0

2 years ago

You and two friends got jobs at stores in the mall. You earn $117.60$117.60 for 1414 hours of work. Ty earns $148.50$148.50 in 1

erica [24]

U : 117.6 / 14 = 8.40 per hr
Ty : 148.5 / 18 = 8.25 per hr
Kim : 137.6 / 16 = 8.60 per hr

highest pay rate is Kim

6 0

4 years ago

Mr. G's pet cat can travel 10 meters in 20 seconds. How many meters can the cat travel in 1 second? Write your answer as a ratio

erastovalidia [21]

Answer:

0.5 meters a second or 0.5:1

Step-by-step explanation:

10 meters ÷ 20

_______________

20 seconds ÷ 20

0.5 meters

_______________

1 second

8 0

3 years ago