The algebraic expression 4x2 - y2 + 6y - 9 is equal to equal to______.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. (2x + y - 3)(2x - y + 3).
4x2 - y2 + 6y - 9
= 4x2 - (y2 - 6y + 9)
= 4x2 - (y - 3)2
= (2x)2 - (y - 3)2
= (2x + y - 3)(2x - y + 3)
Therefore, the value of the expression is (2x + y - 3)(2x - y + 3).