1.6E: Factoring Polynomials (Exercises)

For the following exercises, find the greatest common factor.

45. \(81 p+9 p q-27 p^{2} q^{2}\) 46. \(12 x^{2} y+4 x y^{2}-18 x y\)
47. \(88 a^{3} b+4 a^{2} b-144 a^{2}\)

For the following exercises, factor the polynomial.

48. \(2 x^{2}-9 x-18\)
49. \(8 a^{2}+30 a-27\)
50. \(d^{2}-5 d-66\)
51. \(x^{2}+10 x+25\)
52. \(y^{2}-6 y+9\)
53. \(4 h^{2}-12 h k+9 k^{2}\)
54. \(361 x^{2}-121\)
55. \(p^{3}+216\)
56. \(8 x^{3}-125\)
57. \(64 q^{3}-27 p^{3}\)
58. \(4 x(x-1)^{-\frac{1}{4}}+3(x-1)^{3}\)
59. \(3 p(p+3)^{\frac{1}{3}}-8(p+3)^{\frac{4}{3}}\)
60. \(4 r(2 r-1)^{-\frac{2}{3}}-5(2 r-1)^{\frac{1}{3}}\)