Question

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Answer 1

it's very easy go through BODMAS

Answer 2

3x² + 3y² + 3z² + 2xz + 2xy - 2yz

Formula used :-

• (a + b + c)² = a² + b² +c² + 2ab + 2ac + 2bc .

Explanation :-

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

=> x² + y² + z² + 2xy + 2xz + 2yz + (x - y + z)² + (x + y - z)²

=> x² + y² + z² + 2xy + 2xz + 2yz + x² + y² + z² + 2xy + 2xz - 2yz + (x + y - z)²

=> x² + y² + z² + 2xy + 2xz + 2yz + x² + y² + z² - 2xy + 2xz - 2yz + x² + y² + z² + 2xy - 2xz - 2yz

=> x² + y² + z² + 2xz + 2yz + x² + y² + z² + 2xz - 2yz + x² + y² + z² + 2xy - 2xz - 2yz

=> 3x² + 3y² + z² + z² + 2xz + z² + 2xy - 2yz

=> 3x² + 3y² + z²+z²+z² + 2xz + 2xy - 2yz

=> 3x² + 3y² + 3z² + 2xz + 2xy - 2yz.