Is extension maths for HSC compulsory for doing engineering at uni?

I Have just started an engineering course at uni, please help with these maths questions!!!? 10points?

• Hi, I have been doing a engineering course at uni lately and I am having a lot of troubles with these very hard maths questions. Could someone please hep me get the correct answers to these questions and also show me the working out so i can understand how you got the answer. This would be very very appreciated if someone could help me! I cant type them on here exactly the same so ill just write a / when there is a fraction. So here they are : SIMPLIFY: 1. (2x-1)(x² + 5x - 6) / (4x² - 1)(x - 1) 2. x - 3 / x ÷ x² - 9 / 2x 3.√3 - √9 - √27 + √81 4. (3+ √3)(1 - 1/ √3) RATIONALIZE : 5. 1/ √2 - 1 6. 5/ 2√3 7. 11/ 2√3 - 1 8. 1 - √3/3 / 1+√3/3 SHOW THAT : 2 √3 + 1 / 2 √3 - 1 + 2 √3 - 1 / 2 √3 + 1 It would be so so so much appreciated if you could work these out and showed me how you got the answer so I could do it for my course. Thanks and Regards Paris

• Answer:

  This is a bit much for one question and moreover your representations are often not clear – this will put off possible respondents. I'll try to do a little bit for you at least: 1. (2x-1)(x² + 5x - 6) / (4x² - 1)(x - 1) = (2x-1)(x-3)(x-2)/[(2x+1)(2x-1)(x-1)] =(x-3)(x-2)/[(2x+1)(x-1)] 2. (x-3/x)/[x²-9/(2x)] = (x²-3)/(x³-4.5) = (x+√3)(x-√3)/(x³-4.5) 3. √3 - √9 - √27 + √81 = √3-3-3√3+9 = 6-2√3 = 6-√12 4. (3+ √3)(1 - 1/ √3) = 3-√3+√3-1 = 2