Factorize:a2 – b2 –4ac + 4c2

We have,= a2 – 2(a)(2c) + c2 – b2= (a – c)2 – (b)2]Now,Using identity: a2 – b2 = (a – b)(a + b)Hence,The given expression can be factorized as:

Q18 of 274 Page 64

Factorize:
a² – b² –4ac + 4c²

We have,

= a² – 2(a)(2c) + c² – b²

= (a – c)² – (b)²]

Now,

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

Hence,

The given expression can be factorized as:

Factorize:

a² + 2ab + b² – 9c²

Factorize:

9 – a² + 2ab – b²

Factorize:

9a² + 3a – 8b – 64b⁴

Factorize:

x² – y² + 6y – 9