The Total solution for NCERT class 6-12
S.No.
First Expression
Second Expression
Product
(i)
a
b + c + d
–
(ii)
x + y – 5
5xy
(iii)
p
6p2 – 7p + 5
(iv)
4p2q2
p2 – q2
(v)
a + b + c
abc
(i) a × (b + c + d) = (a × b) + (a × c) + (a × d) = ab + ac + ad(ii) (x + y – 5) (5xy) = (x × 5xy) + (y × 5xy) – (5 × 5xy) = 5x2y + 5xy2 –25xy(iii) p × (6p2 –7p + 5) = (p × 6p2) – (p× 7p) + (p × 5) = 6p3 –7p2 +5p(iv) 4p2q2 ×(p2 –q2) = 4p2q2 ×p2 –4p2q2 ×q2 =4p4q2 –4p2q4(v) (a + b + c) × (abc) = (a × abc) + (b × abc) + (c × abc) = a2bc + ab2c + abc2
Completed Table:
ab + ac + ad
5x2y + 5xy2 – 25xy
6p3 – 7p2 + 5p
4p4q2 – 4p2q4
a2bc + ab2c + abc2