Factorize: x 2 – y 2 + 6y – 9

Question

Factorize: x 2 &#x2013; y 2 + 6y &#x2013; 9

Philoid · Accepted Answer

We have,

= [x² – (y² – 2(y)(3) + 3²]

We can also write the expression as:

= [(x)² – (y – 3)²]

Now,

Using identity: a² – b² = (a – b)(a + b)

Hence,

The given expression can be factorized as:

Factorize:x2 – y2 + 6y – 9