Factorize:
25x2 + 4y2 + 9z2 – 20xy – 12yz + 30xz
We know that,
(x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2za
Using this formula, we get
= (5x)2 + (-2y)2 + (3z)2 + 2(5x) (-2y) + 2 (-2y) (3z) + 2 (3z) (5x)
= (5x – 2y + 3z)2