Question

Factorize x²-4y² -9z² +12yz​

Answer 1

Answer:

Answer

The first three terms of the expression is in the form (x+y)

2

and the fourth term is a perfect square.

Hence, x

2

+2xy+y

2

−4z

2

=(x+y)

2

−(2z)

2

=[(x+y)+2z][(x+y)−2z]

=(x+y+2z)(x+y−2z)

Answer 2

x²- 4y² -9z² +12yz

= x² - (2y-3z)²

= (x+2y-3z) (x-2y+3z) [Ans.]