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Aptitude · Q514

Algebra

Competitive Exams · Aptitude · question 514

Q514

ab(a - b) + bc(b - c) + ca(c - a) is equal to:

A.
(a - b)(b + c)(c - a)
B.
(a + b)(b - c)(c - a)
C.
(b - a)(b - c)(c - a)
Answer
D.
(a - b)(b - c)(c - a)

Answer: Option C

Solution

Answer: Option C
Solution:
ab(a - b) + bc(b - c) + ca(c - a)
Let c = 0
ab(a - b)
Now from option C
(b - a)(b - c)(c - a)
= -(a-b)b(-a)
= ab(a - b)