Exercise 2⋅ 2
4.{( 3 , 2 ),( 4 , 2 )} 5. {( 2 , 4 ),( 2 , 6 )} 6.
16
7
7 , 23 ,
7. 2 8. 1 or 2 or 3 9.
x4- (a) { 2 },{ 1 , 2 , 3 } (b) { 2 , 1 , 0 , 1 , 2 ),( 2 , 1 )}
(c) ,{ 0 , 1 , 1 , 2 , 2 }
2
5
, 1 ,
21
¿¾½
̄®- (a) {( 1 , 2 ),( 0 , 1 ),( 1 , 0 ),( 2 , 1 )},{ 1 , 0 , 1 , 2 },{ 2 , 1 , 0 , 1 }
(b) {( 1 , 2 ),( 0 , 0 ),( 1 , 2 )},{ 1 , 0 , 1 },{ 2 , 0 , 2 }
- (a) 41 (b) 5 (c) 13
Exercise 3⋅ 1
- (a) 4 a^2 12 ab 9 b^2 (b) 4 a^2 b^2 12 ab^2 c 9 b^2 c^2 (c) 2 4
2
4 4 4
y yx
x (d)^22
1
2
a
a (e) 16 y^2 40 xy 25 x^2 (f) a^2 b^2 2 abcc^2(g) 25 x^4 10 x^2 yy^2 (h) x^2 4 y^2 16 z^2 4 xy 16 yz 8 zx
(i) 9 p^2 16 q^2 25 r^2 24 pq 40 qr 30 pr(j) 9 b^2 25 c^2 4 a^2 30 bc 20 ca 12 ab
(k)a^2 x^2 b^2 y^2 c^2 z^2 2 abxy 2 bcyz 2 cazx
(l)a^2 b^2 c^2 d^2 2 ab 2 ac 2 ad 2 bc 2 bd 2 cd
(m) 4 a^2 9 x^2 4 y^2 25 z^2 12 ax 8 ay 20 az 12 xy 30 xz 20 yz (n) 10201
(o) 994009 (p) 10140491
- (a) 16 a^2 (b) 36 x^2 (c)p^2 49 r^2 14 rp (d) 36 n^2 24 pn 4 p^2 (e) 100
(f) 4410000 (g) 10 (h) 3104
3.r 16 4. r 1 5. r 3 m 6. 130 8.
4
1- 19 12. 25 13. 6 14. 138
- 9 17. ( 2 abc)^2 (bac)^2 18. (x 1 )^2 82 19. (x 5 )^2 12 20.(i) 3