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Can someone please help me with these questions.

Can someone please help me with these questions. I think I have the
answers to them but I am not quite sure if its what the teacher wanted. I will put the question how its written and then I will put my answer. Am I on the right track or am i completely off track?

-(x3+6×2+12+13x) / (x+3) —– My answer I got was x2+3x+4
-(x4-23×3+49x+4) / x2+x-2) —-My answer I got was x2-24x+26+ -74x+105/x2+x-2
-Multiply the following expression. Assume x is positive. (√x (4-3√x) —-I got 4√x -3x (not sure what it means to assume x is positive)
-Multiply the following expression. Assume x is positive. (2√x +1) (3-4√x) —- I got -8x+2√x +3
-Rationalize the denominator. Assume that x and y are both positive. 9 /3√2x ——I got 9* 2 2/3 x 2/3 / 2x
-Multiply the following. Assume that x is positive. (√x +2) (√x -5) —–I got x-3 √x -10
-Rationalize the denominator. Assume that x and y are both positive. 6 / √x —-I got 6√x / x

Are these answers correct or am I complete off the subject?

 
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