Could you help me solve these please?

Question

1. 6/x² - 1 + 7/x - 1

 

2. Brian rode his bike 2 mi to his friend's house. Brian's bike had a flat tire, so he had to walk home. His walking rate is 25% of his bike rate.

 

a. Write an expression for the amounts of time he spent walking and riding his bike.

b. If Brian's biking rate is 12mi/h, how much time did he spend walking and riding his bike?

Answer 1

1.   6/x2 - 1 + 7/x - 1  ⇐ I shall assume that the denominators are binomials & that they are enclosed in parentheses.

 

Using common denominator (x-1)(x-1), we get this numerator:  6 + 7(x+1)

so our final expression is (13+7x) / (x²-1)