Simplifying Rational Expressions

Simplify the expression. Remove common factors in numerator and denominator, if any. Leave solutions in factored form.

1.  x-2(3x + 1)2 + 2x-3(3x + 1)3 2.  2x-3(x2 + 1)3 - 4x-5(x2 + 1)4
3.  x2(2x + 3)-2 + 5x3(2x + 3)-3 4.  2x-3(x + 1)-1 - 3x-2(x + 1)-2
5.  -6(2x + 1)-4(3x2 - 2) + 6x(2x + 1)-3 6.  
7.   8.  
9.   10.  
Answers:
1. 2. 3. 4.
5. 6. 7.
8. 9. 10.