(9 points) 4. In each of the following exercises, rewrite and simplify the given expression. Give your answer using positive exponents only. 1-3/2 a. 5x y=2 b. (uv w - 3u w) (v-? ) c. (Vr + x y = = )(xy-=3) (9 points) 5. In each of the following exercises, expand and simplify. a. v2(3x - V2x' + 1) - V18(1-4x) b. (t - u)2 +5(31 -1 + 417)(1+1) c. (1 - 3x + x2 )(2-2x] ) (9 points) 6. In each of the following exercises, factor the given expressions. a. 2y'+ 6y' + y+3 b. 3x - 18xy + 24yz c. 50x + 20x7 + 2x (12 points) 7. In each of the following exercises, factor and simplify the terms, and then do the indicated operations. 12x2 - 10xy + 212 a. 9x2 - 9x2 - 6xy + 12 b. Vx + 5x +4 x2 - 3x - 4 x3 +8x+16 x- - 16 9x +6x +x 6x -1 C. 27x + 1 3 x- + x (12 points) 8. Determine which of the equations given below have real solutions and give the solutions of those that do. a. 2x- + 3x = 6 b. x4+6x3 - 3=0 Hint. Set a = x and express the equation in terms of a. c. 3x =12x3 - 5x d. * +7x 3 + 3 EX 2