Exercise 3⋅ 2
- (a) 8 x^3 60 x^2 150 x 125 (b) 8 x^6 36 x^4 y^2 54 x^2 y^4 27 y^6
(c) 64 a^3 240 a^2 x^2 300 ax^4 125 x^6 (d) 343 m^6 294 m^4 n 84 m^2 n^2 8 n^3
(e) 65450827 (P) 994011992
(f) 8 a^3 b^3 27 c^3 12 a^2 b 36 a^2 c 6 ab^2 54 ac^2 9 b^2 c 27 bc^2 36 abc
(g) 8 x^3 27 y^3 z^3 36 x^2 y 12 x^2 z 54 xy^2 27 y^2 z 6 xz^2 9 yz^2 36 xyz
- (a) 8 a^3 (b) 64 x^3 (c) 8 x^3 (d) 1 (e) 8 (bc)^3 (f) 64 m^3 n^3 (g) 2 (x^3 y^3 z^3 )
(h) 64 x^3
- 665 4. 54 5. 8 6. 42880 7. 1728 10. (a) 3 (b) 9 11. (a) 133
(b) 665
- a^3 3 a 13. p^3 3 p 13. 465
Exercise 3⋅ 3
- (ab)(ac) 2. (b 1 )(a 1 )
- 2 (xy)(xyz) 4. b(xy)(ac)
- ( 3 x 4 )^2 6. (a^2 5 a 1 )(a^2 5 a 1 )
- (x^2 2 xyy^2 )(x^2 2 xyy^2 ) 8. (axbyayby)(axbxaybx)
- ( 2 a 3 b 2 c)( 2 a 3 b 2 c) 10. 9 (xa)(xa)(x 2 a)(x 2 a)
- (ay 2 )(ay 4 ) 12. ( 4 x 5 y)( 4 x 5 y 2 z)
- (abc)(bca)(cab)(abc) 14. (x 4 )(x 9 )
- (x 2 )(x 2 )(x^2 5 ) 16. (a 18 )(a 12 )
- (x^3 y^3 3 )(x^3 y^3 2 ) 18. (a^4 2 )(a^4 1 )
- (ab 7 )(ab 15 ) 20. (x 13 )(x 15 )
- (x 2 )(x 2 )( 2 x 3 )( 2 x 3 ) 22. ( 2 x 5 )( 6 x 4 )
- y^2 (x 1 )( 9 x 14 ) 24. (x 3 )(x 3 )( 4 x^2 9 )