Question

Factorize

25x square +36y square +49z square +60xy-84yz-70zx

Pls answer

Answer 1

Hey MATE!

We can factories the above by applying identity:

(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca

=> 25x² + 36y² + 49z² + 60xy - 84yz - 70zx

=> (5x)² + (6y)² + (-7z)² + 2(5x)(6y) + 2(6y)(-7z) + 2(5x)(-7z)

=> (5x + 6y - 7z) ²

Hope it helps
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