Factorize:
4x2 + 9y2 + 16z2 + 12xy – 24yz – 16xz
We know that,
(x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2za
Using this formula, we get
= (2x)2 + (3y)2 + (-4z)2 + 2(2x) (3y) + 2 (3y) (-4z) + 2 (-4z) (2x)
= (2x + 3y – 4z)2