Add, subtract, multiply, or divide as indicated. list any restrictions for the variable(s) and simplify the answers when possible. 1) x-2 / x+5 + 3x / 2x-1 2) x+6 / x-6 - x^2 / x+6 3) x+9 / x-4 + x+2 / x^2-11x+28 4) x / x^2-64 + 11 / 2x^2+11x-40 5) 5 / x + 11 / x-3 - x-4 / x^2+2x-15

QUESTION 6

We want to simplify;



We collect LCM to get,



Expand the numerator to get;







QUESTION 7

The given expression is




Expand the bracket to obtain,



This simplifies to



QUESTION 8

We want to simplify



Let us factor the denominator of the fraction first.







We collect LCM to obtain;



We expand brackets to get;





QUESTION 9

The given expression is



We factor the numerator of the second fraction to get,





This implies that,



We collect LCM to get,







QUESTION 10

The given expression is



We factor the denominator to obtain:



We collect LCM to get;



We expand brackets to get,