Page No 140:
Question 2:
Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any of these three categories?
x + y,
1000,
x + x2 + x3 + x4,
7 + y + 5x,
2y − 3y2,
2y − 3y2 + 4y3,
5x − 4y + 3xy,
4z − 15z2,
ab + bc + cd + da,
par,
p2q + pq2,
2p + 2q,
Page No 140:
Question 4:
(a) Subtract 4a − 7ab + 3b + 12 from 12a − 9ab + 5b − 3
(b) Subtract 3xy + 5yz − 7zx from 5xy − 2yz − 2zx + 10xyz
(c) Subtract 4p2q − 3pq + 5pq2 − 8p + 7q − 10 from 18 − 3p − 11q + 5pq − 2pq2 + 5p2q
Page No 144:
Question 5:
Obtain the product of
(i) xy, yz, zx (ii) a, − a2, a3 (iii) 2, 4y, 8y2, 16y3
(iv) a, 2b, 3c, 6abc (v) m, − mn, mnp
Page No 146:
Question 2:
Complete the table
--- | First expression | Second Expression | Product |
(i) | a | b + c + d | - |
(ii) | x + y − 5 | 5 xy | - |
(iii) | p | 6p2 − 7p + 5 | - |
(iv) | 4p2q2 | p2 − q2 | - |
(v) | a + b + c | abc | - |
Page No 146:
Question 5:
(a) Add: p (p − q), q (q − r) and r (r − p)
(b) Add: 2x (z − x − y) and 2y (z − y − x)
(c) Subtract: 3l (l − 4m + 5n) from 4l (10n − 3m + 2l)
(d) Subtract: 3a (a + b + c) − 2b (a − b + c) from 4c (− a + b + c)
Page No 151:
Question 5:
Show that
(i) (3x + 7)2 − 84x = (3x − 7)2 (ii) (9p − 5q)2 + 180pq = (9p + 5q)2
(iii) 
(iv) (4pq + 3q)2 − (4pq − 3q)2 = 48pq2
(v) (a − b) (a + b) + (b − c) (b + c) + (c − a) (c + a) = 0
