Question

4x^2+9y^2+16z^2+12xy+24yz+6xz

Answer 1

Answer:

Given :-

➪ 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 × 2x × 4z

➭ (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