Question

1. Factorise : 16x² + 9y² + 4z² + 24 xy + 12 yz + 16 zx​

Answer 1

Answer:

16x² + 9y² + 4z² + 24 xy + 12 yz + 16 zx​

16x² + 9y² + 4z² + 2(12 xy + 6 yz + 8 zx​)

(4x)² + (3y)²+ (2z)² +2 [(4x*3y) + (3y*2z)+ (2z*4x)]

= a²+b²+c²+2(ab+bc+ca)

This is equal to

(a+b+c)²

So (4x+3y+2z)²

Hope this helps u :)