Question

x² + 4y² + 9z² - 4zy + 12yz - 6zx please factorise it step by step for 40 points.Iwill mark you as brainliest for correct answer with explanations. ​

Answer 1

Step-by-step explanation:

${x}^{2} + {4x}^{2} + {9z}^{2} - 4zy + 12yz - 6zx \\ = {5x}^{2} + {9z}^{2} + 8yz - 6zx$

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Answer 2

It can be re-written as

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

We can observe it is the formula ( a + b + b )²

So, it can be factorized as (-x + 2y -3z)²

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