Question

.Factorize: 4x^2+9y^2+16z^2+12xy-24yz-16xz​

Answer 1

Answer:

Question :-

➪ 4x² + 9y² + 16z² + 12xy - 24yz - 16xz

Solution :-

➪ 4x² + 9y² + 16z² + 12xy - 24yz - 16xz

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

➭ (2x + 3y - 4z)²

➭ (2x + 3y - 4z) (2x + 3y - 4z)

∴ The value of 4x² + 9y² + 16z² + 12xy - 24yz - 16xz is

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

Formula used :-

➔ (a + b + c)²

➙ a² + b² + c² + 2ab + 2bc + 2ca