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Factorize : x² + 9y² + 4z² + 6xy - 12yz - 4xz
(x)² + (3y)² + (-2z)² + 2(x)(3y) + 2(3y)(-2z) + 2(x)(-2z)
Identity used here : (a+b+c)² = a² + b² + c² + 2ab + 2bc + 2ac
Hence,
x² + 9y² + 4z² + 6xy - 12yz - 4xz = {x+3y+(-2z)}{x+3y+(-2z)} = {x+3y+(-2z)}²
Hope it helps
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