Assignment:
Q1. Simplify the rational expression:
2x^2 - 12x + 18/2x^2 - 18
Q2. Divide:
x^2 - 9x + 20/3x - 15 ÷ x^2 - 16/9x + 36
Q3. Simplify:
√[81x^12y^8z^10]
Q4. Perform the indicated operations:
2√[48] + 7√[12] -√[27]
Q5. Multiply:
(√[6] + 2√[2])(4√[6] - 3√[2])
Q6. Rationalize the denominator:
____
√[3] + √[2]
Q7. Factor by grouping: 3x^2 - 12x + 5x - 20
Q8. Factor completely: 9x^2 - 16y^2
Q9. Factor completely: 3x^2 - 2x - 8
Q10. Factor completely: 3x^2 + 12x +12
Q11. Simplify the rational expression: 2^2 - 3x - 9/2x^2 + 3x - 9
Q12. Show the similarities between dividing two fractions and dividing two rational expressions using examples of each; explain your steps.
Provide complete and step by step solution for the question and show calculations and use formulas.