Question

4x2 + 9y2 +16z2 + 12xy - 24yz - 16xz​

Answer 1

Step-by-step explanation:

4x² + 9y² +16z² + 12xy - 24yz - 16xz

=(2x)² + (3y)² + (-4z)² + (2)(2x)(3y) - (2)(3y)(4z) - (2)(4z)(2x)

[a²+b²+c²+2ab+2bc+2ca=(a+b+c)²]

= (2x + 3y + (-4z))²

=> (2x + 3y - 4z)²

Answer 2

4x²+9y²+16z²+12xy-24yz-16xz

(2x)²+(3y)²+(-4z)² +2×2x×3y+2×3y×(-4z)+2×(-4z)×2x

(a+b+c)² = a²+b²+c²+2ab+2bc+2ac

[2x+3y+(-4z)]²

(2x+3y-4z)²

(2x+3y-4z)(2x+3y-4z)

Hope this answer will help you.