Question

Factorise :
9x^2+16y^2+4z^2-24xy+16yz-12xz
solve step by step​

Answer 1

Answer:

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Answer 2

Answer:

Given :-

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

Solution :-

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

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

➭ (- 3x + 4y + 2z)²

➭ (- 3x + 4y + 2z) (- 3x + 4y + 2z)

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

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

Formula used :-

➪ (a + b + c)²

➭ a² + b² + c² + 2ab + 2bc + 2ca