Question

Factorize the following : 9x²+16y²+4z²+24xy-16yz-12xz​

Answer 1

Answer:

hii

Step-by-step explanation:

We know that,

We know that,(x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2za

We know that,(x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zaUsing this formula, we get

We know that,(x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zaUsing this formula, we get= (-3x)2 + (4y)2 + (2z)2 + 2(-3x) (4y) + 2 (4y) (2z) + 2 (2z) (-3x)

We know that,(x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zaUsing this formula, we get= (-3x)2 + (4y)2 + (2z)2 + 2(-3x) (4y) + 2 (4y) (2z) + 2 (2z) (-3x)= (-3x + 4y + 2z)2