8th Algebric expression and division
1. Add: [3]
(i) 7a bc, – 3abc2, 3a2bc, 2abc2
2
(ii) 9ax, + 3by – cz, – 5by + ax + 3cz
(iii) xy2z2 + 3x2y2z – 4x2yz2, – 9x2y2z + 3xy2z2 + x2yz2
2. Subtract : [2]
(i) 3t4 – 4t3 + 2t2 – 6t + 6 from – 4t4 + 8t3 – 4t2 – 2t + 11
(ii) 2ab + 5bc – 7ac from 5ab – 2bc – 2ac + 10abc
3. Simplify (i) (3x + 2y) 2 + (3x – 2y) 2 [2]
(ii)(a – b) (a + b + ab) – (a + b) (a2 + b2 – ab) [2]
2 2
4. Expand the following, using suitable identities. [8]
(i) (xy + yz) 2 (vi) (x2y – xy2) 2
4x y 4x 3 y
ii) (a2 + b2) 2 (vii) ( + )( + )
5 4 5 4
4p 5 2
iii) (x+3) (x-7) (viii) ( + q)
5 3
iv) (2x+9) (2x-7)
2 3
v) ( x− y ) 2
3 2
5. Using suitable identities, evaluate the following. [8]
(i)(52)2 (ii) (103)2 (iii) (98)2 (iv) (729)2 – (271)2
(v) (9.9)2 (vi) 9.8 × 10.2 (vii)(132)2 – (68)2 (viii) (339)2 – (161)2
6. Carry out the following divisions: [5]
3 2
(i) 51x y z ÷ 17xyz (ii) 76x yz ÷ 19x2y2
3 3
(iii) 17ab2c3 ÷ (–abc2)
(iv) –121p3q3r3 ÷ (–11xy2 z3) (v) (3pqr – 6p2q2r2) ÷ 3pq
7. A) If x – y = 13 and xy = 28, then find x2 + y2. [4]
B) If a2 + b2 = 74 and ab = 35, then find a + b.
8. Divide [6]
8th Algebric expression and division
1. Add: [3]
(iv) 7a bc, – 3abc2, 3a2bc, 2abc2
2
(v) 9ax, + 3by – cz, – 5by + ax + 3cz
(vi) xy2z2 + 3x2y2z – 4x2yz2, – 9x2y2z + 3xy2z2 + x2yz2
2. Subtract : [2]
(iii) 3t4 – 4t3 + 2t2 – 6t + 6 from – 4t4 + 8t3 – 4t2 – 2t + 11
(iv)2ab + 5bc – 7ac from 5ab – 2bc – 2ac + 10abc
3. Simplify (i) (3x + 2y) 2 + (3x – 2y) 2 [2]
(ii)(a – b) (a + b + ab) – (a + b) (a2 + b2 – ab) [2]
2 2
4. Expand the following, using suitable identities. [8]
(i) (xy + yz) 2 (vi) (x2y – xy2) 2
4x y 4x 3 y
ii) (a2 + b2) 2 (vii) ( + )( + )
5 4 5 4
4p 5 2
iii) (x+3) (x-7) (viii) ( + q)
5 3
iv) (2x+9) (2x-7)
2 3
v) ( x− y ) 2
3 2
5. Using suitable identities, evaluate the following. [8]
(i)(52)2 (ii) (103)2 (iii) (98)2 (iv) (729)2 – (271)2
(v) (9.9)2 (vi) 9.8 × 10.2 (vii)(132)2 – (68)2 (viii) (339)2 – (161)2
6. Carry out the following divisions: [5]
3 2
(i) 51x y z ÷ 17xyz (ii) 76x yz ÷ 19x2y2
3 3
(iii) 17ab2c3 ÷ (–abc2)
(iv) –121p3q3r3 ÷ (–11xy2 z3) (v) (3pqr – 6p2q2r2) ÷ 3pq
7. A) If x – y = 13 and xy = 28, then find x2 + y2. [4]
B) If a2 + b2 = 74 and ab = 35, then find a + b.
8. Divide [6]
