Question

Factorize the following:
(a) 4 x² - y² + 6y – 9


plzz give correct answers ​

Answer 1

Answer:

4x2 - y2 + 6y - 9

= 4x2 - (y2 - 6y + 9), Rearrange the terms

We can write y2 - 6y + 9 as a2 – 2ab + b2.

= (2x)2 - [(y)2 - 2(y)(3) + (3)2]

Now using the formula a2 – 2ab + b2 = (a – b)2 we get,

= (2x)2 - (y - 3)2

Now we will apply the formula of a2 – b2 = (a + b) (a – b) we get,

= (2x + y - 3) {2x - (y - 3)}, simplifying

= (2x + y - 3) (2x - y + 3).

Answer 2

Step-by-step explanation:

I hope it's helpful to you