Sum of a - b + ab, b + c - bc and c - a - ac is
(a) 2c + ab - ac - bc
(b) 2c - ab - ac - bc
(c) 2c + ab + ac + bc
(d) 2c - ab + ac + bc
Solution:
Correct option is (a)
Given , sum of a - b + ab, b + c - bc and c - a - ac
(a - b + ab) + (b + c - bc) + (c - a - ac)
= a - b + ab + b + c - bc + c - a - ac
Sorting like terms,
= (a - a) + (-b + b) + (c + c) + (ab - bc - ac)
= 2c + ab - bc - ac
✦ Try This: Sum of (x² + y - 2), (2x² + 3y - 3z) and (5x² + 6y + 9z) is _____?
Sum of (x² + y - 2), (2x² + 3y - 3z) and (5x² + 6y + 9z)
⇒ (x² + y - 2) + (2x² + 3y - 3z) + (5x² + 6y + 9z)
= x² + y - 2 + 2x² + 3y - 3z + 5x² + 6y + 9z
Sorting like terms,
= (x² + 2x² + 5x²) + (y + 3y + 6y) - (3z - 9z) - 2
= 8x² + 10y - (-6z) - 2
= 8x² + 10y + 6z - 2
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 9
NCERT Exemplar Class 8 Maths Chapter 7 Problem 8
Sum of a - b + ab, b + c - bc and c - a - ac is (a) 2c + ab - ac - bc, (b) 2c - ab - ac - bc, (c) 2c + ab + ac + bc, (d) 2c - ab + ac + bc
Summary:
Sum of a - b + ab, b + c - bc and c - a - ac is 2c + ab - bc - ac
☛ Related Questions:
- Product of the following monomials 4p, – 7q³, –7pq is (a) 196 p²q⁴ (b) 196 pq⁴ (c) – 196 p²q⁴ (d) 19 . . . .
- Area of a rectangle with length 4ab and breadth 6b² is (a) 24a²b² (b) 24ab³ (c) 24ab² (d) 24ab
- Volume of a rectangular box (cuboid) with length = 2ab, breadth = 3ac and height = 2ac is (a) 12a³bc . . . .
visual curriculum