{3x}^(2) + 6xy - {4z}^(2) from \: {2x}^(2) - 11xy + {9z}^(2) solve this question​. step by step

Question

`{3x}^(2) + 6xy - {4z}^(2) from \: {2x}^(2) - 11xy + {9z}^(2)`

solve this question​.
step by step

Answer 1

The expressions we need to do subtraction with :

`= \tt {2x}^(2) - 11xy + 9 {z}^(2) - {3x}^(2) + 6xy - 4 {z}^(2)`

Let us now subtract those expression by combining like terms and simplifying them until they can no longer be simplified :

`= \tt - 3 {x}^(2) + 2 {x}^(2) + 9 {z}^(2) - 4 {z}^(2) - 11xy + 6xy`

`= \tt - 1 {x}^(2) + {5z}^(2) - 5xy`

Therefore, the answer to :

`\color{hotpink}\tt {2x}^(2) - 11xy + 9 {z}^(2) - {3x}^(2) + 6xy - 4 {z}^(2) \color{plum} = \tt - 1 {x}^(2) + {5z}^(2) - 5xy`