Simplify the given expression.
(a - 2b)(b - 3a) + (a + b)(a - 3b) - (b - 3a)(4a - 5b)
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 10a2 - 14ab.
Given that
(a - 2b) (b - 3a) + (a + b) (a - 3b) - (b - 3a) (4a - 5b)
⇒ ab - 3a2 - 2b2 + 6ab + a2 - 3ab + ab - 3b2 - (4ab - 5b2 - 12a2 + 15ab)
⇒ 5ab - 2a2 - 5b2 - 4ab + 5b2 + 12a2 - 15ab
⇒ 10a2 - 14ab