53. Factor (x-3)3 + 8 as the sum of two cubes. Then simplify each factor. 54....

 

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53. Factor (x-3)3 + 8 as the sum of two cubes. Then simplify each factor. 54. Factor (2a + b) - b as the difference of two cubes. Then simplify each factor. 55. Divide (x-1), (x- 1), and (x-1) by (x-1) using synthetic division. Use the pattern you observe to find a formula for (x" - 1) divided by (x - 1). The polynomial au + bu+c is in quadratic form when u is any function of x. Identify u, and factor each expression, simplifying the factors if possible. 56. x + 3x+2 57. (3x-8)2+6(3x-8)+9 58. 2x - 2x - 12 59. 3. (x-1)+(x-3)-42 53. Factor (x-3)3 + 8 as the sum of two cubes. Then simplify each factor. 54. Factor (2a + b) - b as the difference of two cubes. Then simplify each factor. 55. Divide (x-1), (x- 1), and (x-1) by (x-1) using synthetic division. Use the pattern you observe to find a formula for (x" - 1) divided by (x - 1). The polynomial au + bu+c is in quadratic form when u is any function of x. Identify u, and factor each expression, simplifying the factors if possible. 56. x + 3x+2 57. (3x-8)2+6(3x-8)+9 58. 2x - 2x - 12 59. 3. (x-1)+(x-3)-42