Simplify the following expression.
{[(x - 5)(x - 1)] - [(9x - 5)(9x - 1)]} ÷ 16x
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. -(5x - 3).
Given, {[(x - 5)(x - 1)] - [(9x - 5)(9x - 1)]} ÷ 16x
⇒ {x2 - 6x + 5 - [81x2 - 54x + 5]} ÷ 16x
⇒ {x2 - 6x + 5 - 81x2 + 54x - 5} ÷ 16x
⇒ {48x - 80x2} ÷ 16x = -(5x - 3)