Intermediate Algebra (11th edition)

464 CHAPTER 8 Roots, Radicals, and Root Functions

Complete solution available
on the Video Resources on DVD

8.5 EXERCISES

Concept Check Match each part of a rule for a special product in Column I with the other

part in Column II. Assume that A and B represent positive real numbers.

III

1. A.


2. B.


3. C.


4. D.


5. E.


6. F.

Multiply, and then simplify each product. Assume that all variables represent positive real

numbers. See Example 1.

41.

42.CA 25 - (^22) B- (^23) DCA 25 - (^22) B+ (^23) D

CA 22 + 23 B- 26 DCA 22 + 23 B+ 26 D

A^22 x+^2 yBA^22 x-^2 yB A^2 p+^52 sBA^2 p-^52 sB

A 23 x+ 2 BA 23 x- 2 B A 26 y- 4 BA 26 y+ 4 B

A^232 y-^5 BA^4232 y+^1 B A^239 z-^2 BA^5239 z+^7 B

A 32 r- 2 sBA 32 r+ 2 sB A 2 k+ 42 mBA 2 k- 42 mB

A^32 x-^25 BA^22 x+^1 B A^42 p+^27 BA^2 p-^9 B

A 2 + 232 BA 4 - 2232 + 234 B A 233 - 1 BA 239 + 233 + 1 B

A^2 +^236 BA^2 -^236 B A^233 +^6 BA^233 -^6 B

A 221 - 25 B^2 A 26 - 22 B^2

A^25 +^2 B^2 A^211 -^1 B^2

A 223 + 25 BA 323 - 225 B A 27 - 211 BA 227 + 3211 B

A^211 -^27 BA^22 +^25 B A^213 -^27 BA^23 +^211 B

A 22 + 1 BA 23 - 1 B A 23 + 3 BA 25 - 2 B

A^28 -^22 BA^28 +^22 B A^220 -^25 BA^220 +^25 B

A 22 - 23 BA 22 + 23 B A 27 + 214 BA 27 - 214 B

(^7) A 250 - (^218) B A 27 + (^3) BA 27 - (^3) B A 23 - (^5) BA 23 + (^5) B

26 A 3 + 22 B 22 A 232 - 29 B 5 A 272 - 28 B

A 2 A+BB^2 A+ 22 AB+B

A 2 A- 2 BB^2 A^2 - B

A 2 A+ 2 BB^2 A- 22 AB+B

A 2 A+ 2 BBA 2 A- 2 BB A-B^2

A 2 A+BBA 2 A-BB A+ 2 B 2 A+B^2

AA+ 2 BBAA- 2 BB A-B