Beginning Algebra, 11th Edition

Perform each indicated operation. See Examples 6 and 7.

59. 
    
    
    
    60. 
        
    
    
    
    


60. 
    


61. 
    


62. 
    


63. 
    


64. 
    


65. 
    


66. 
    


67. 
    


68. 
    


69. 
    

    71.Concept Check Without actually performing the operations, determine mentally the
    coefficient of the -term in the simplified form of

    
    

72.Concept Check Without actually performing the operations, determine mentally the

coefficient of the x-term in the simplified form of

.

Add or subtract as indicated. See Example 9.

Find a polynomial that represents the perimeter of each rectangle, square, or triangle.

82. 83. 84.

Find (a)a polynomial that represents the perimeter of each triangle and (b)the degree meas-

ures of the angles of the triangle.

116 t^3 s^2 + 8 t^2 s^3 + 9 ts^42 - 1 - 24 t^3 s^2 + 3 t^2 s^3 - 18 ts^42

15 x^2 y- 2 xy+ 9 xy^22 - 18 x^2 y+ 13 xy+ 12 xy^22

14 x+ 2 xy- 32 - 1 - 2 x+ 3 xy+ 42 18 ab+ 2 a- 3 b 2 - 16 ab- 2 a+ 3 b 2

16 b+ 3 c 2 + 1 - 2 b- 8 c 2 1 - 5 t+ 13 s 2 + 18 t- 3 s 2

1 - 8 x^2 - 3 x+ 22 - 14 x^2 - 3 x+ 82 - 1 - 2 x^2 - x+ 72

1 - 4 x^2 + 2 x- 32 - 1 - 2 x^2 +x- 12 + 1 - 8 x^2 + 3 x- 42.

x^2

316 t^2 - 3 t+ 12 - 112 t^2 + 2 t- 624 - 314 t^2 - 3 t- 82 + 1 - 6 t^2 + 10 t- 1224

313 x^2 - 2 x+ 72 - 14 x^2 + 2 x- 324 - 319 x^2 + 4 x- 62 + 1 - 4 x^2 + 4 x+ 424

319 b^3 - 4 b^2 + 3 b+ 22 - 1 - 2 b^3 - 3 b^2 +b 24 - 18 b^3 + 6 b+ 42

318 m^2 + 4 m- 72 - 12 m^2 - 5 m+ 224 - 1 m^2 +m+ 12

14 m^2 - 3 m+ 22 + 15 m^2 + 13 m- 42 + 1 - 16 m^2 - 4 m+ 32

19 a^4 - 3 a^2 + 22 + 14 a^4 - 4 a^2 + 22 + 1 - 12 a^4 + 6 a^2 - 32

Subtract 19t^5 - 6 t^3 +t from 8t^5 + 3 t^3 + 5 t.

Subtract 18y^4 - 5 y^2 +y from 7y^4 + 3 y^2 + 2 y.

1 - 2 b^6 + 3 b^4 - b^22 + 1 b^6 + 2 b^4 + 2 b^22

116 x^3 - x^2 + 3 x 2 + 1 - 12 x^3 + 3 x^2 + 2 x 2

18 m^2 - 7 m 2 - 13 m^2 + 7 m- 62 1 x^2 +x 2 - 13 x^2 + 2 x- 12

x + 2

4 x^2 + 3x + 1^5 y^2 + 3y + 8

y + 4

(^12) x (^2) + 2x
(^34) x (^2) + x
5 t^2 +2
6 t+4^3 t^2 +2t+7
6 p^2 +p
9 p^3 +2p^2 +1
2 p+5
(7x – 3)°
(2x – 1)°
2 y – 3t 5 y + 3t
16 y + 5t
(5x + 2)°
(6x + 7)° (3x)°
(8x + 3)°

• t^2 s + 6ts 4 t^2 s – 3ts^2 + 2ts

–8t^2 s + 6ts^2 + ts

Perform each indicated operation.

87.Find the difference between the sum of and and the sum of

7 x^2 - 3 x+ 6 and .-x^2 + 4 x- 6

5 x^2 + 2 x- 3 x^2 - 8 x+ 2

SECTION 5.4 Adding and Subtracting Polynomials; Graphing Simple Polynomials 327