Need help with question 8-12 # Algebraic Expressions and Rationalizations## Problem Set### Problem 1:**Simplify the expression:** \((125x^{\frac{1}{2}}y^6)^{\frac{1}{3}}\)- **Options:** - A: \(\frac{125}{3}y^{\frac{6}{3}}\sqrt{x}\) - B: \(5y^2\sqrt[3]{x}\) - C: \(5x^{\frac{5}{6}}y\) - D: **None of these**### Problem 8:**Evaluate the rational expression:** \(\frac{6x^2 - 11x + 4}{2x^2 + 5x - 3}\)- **Options:** - A: \(\frac{3x - 4}{x + 3}\) - B: \(\frac{(6x - 1)(x - 4)}{(2x + 3)(x - 1)}\) - C: \(3x^2 - \frac{11}{5}x - \frac{4}{3}\) - D: **None of these**### Problem 9:**Solve the expression:** \(\frac{x^2 - y^2}{2x + y} \cdot \frac{4x + 2xy}{y - x}\)- **Options:** - A: \(2x + y\) - B: \(-2x(x + y)\) - C: \(\frac{2x(x + y)}{y - x}\) - D: **None of these**### Problem 10:**Rationalize the denominator:** \(\frac{4 - 3\sqrt{2}}{6 + \sqrt{2}}\)- **Options:** - A: \(\frac{15 - 11\sqrt{2}}{17}\) - B: \(\frac{9 - 7\sqrt{2}}{19}\) - C: \(-\frac{1}{4}\) - D: **None of these**### Problem 11:**Evaluate the expression:** \(\frac{2a^2 - ab - b^2}{6x^2 - x

Name: Need help with question 8-12 # Algebraic Expressions and Rationalizati
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: Need help with question 8-12 # Algebraic Expressions and Rationalizations## Problem Set### Problem 1:**Simplify the expression:** \((125x^{\frac{1}{2}}y^6)^{\frac{1}{3}}\)- **Options:** - A: \(\frac{125}{3}y^{\frac{6}{3}}\sqrt{x}\) - B: \(5y^2\sqr