How to perform operation on Arraylist?

Perform the indicated operation: (7/x+3) - 3/x^2-9?

• Hi I need help with my Homework.. I already did these.. just making sure their correct, thank you: 09) Perform the indicated operation: 7/x+3 - 3/x^2-9 10) Perform the indicated operation: (1/x+2)+9 11) Perform the indicated operation: (17/x^2+3x-28)-(2/x-4)

• Answer:

  Assuming I've read the problems right (writing math problems on a single line is tough without using a lot of brackets, so I assume for 9 that the space indicates two expressions, for 10 that 1/x+2 is 1/(x+2) and not (1/x)+2, and that the polynomial in 11 is all under 17 instead of (17/x^2)+3x... ) 09) Given: 7/(x+3) - 3/(x^2-9) Factor Denominator: 7/(x+3) - 3/(x+3)(x-3) Rewrite with LCD: 7(x-3)/(x+3)(x-3) - 3/(x+3)(x-3) Multiply and Rewrite: 7x-21/(x^2-9) - 3/(x^2-9) Subtract: (7x-24)/(x^2-9) 10) Given: (1/x+2)+9 Rewrite with LCD: (1/(x+2))+[(9x+18)/(x+2)] Add fraction w/same denom.: (1+9x+18)/(x+2) Simplify: (9x+19)/(x+2) 11) Given: [17/(x^2+3x-28)] - [2/(x-4)] Factor first denom: [17/(x+7)(x-4)] - [2/(x-4)] Rewrite with LCD: [17/(x+7)(x-4)] - [2(x+7)/(x+7)(x-4)] Simplify numerator: [17/(x+7)(x-4)] - [(2x+14)/(x+7)(x-4)] Subtract fraction w/like denom: [17-(2x+14)]/[(x+7)(x-4)] Subtraction rule for polynomial: [17-2x-14]/[(x+7)(x-4)] Simplify: (3-2x)/(x^2+3x-28)