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Which expression is equivalent to `\left(3xy\ -\ 2xz\ +\ yz\right)\ +\ \left(2xy\ -\ 4xz\ -\ 5yz\right)?`

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Answered by ,,,,,,,,,,,,
Which expression is equivalent to `5x^{2}+3x-2x^{2}+4x?`
Answered by ,,,,,,,,,,,,
Which expression is equivalent to `-3\left(2x+5\right)\ +\ 7\ ?`
Answered by GPT 3.5
The expression `(\left(3xy\ -\ 2xz\ +\ yz\right)\ +\ \left(2xy\ -\ 4xz\ -\ 5yz\right)` can be simplified by combining like terms:

= `(3xy - 2xz + yz) + (2xy - 4xz - 5yz)`
= `3xy - 2xz + yz + 2xy - 4xz - 5yz`

We can group like terms together:

= `(3xy + 2xy) + (-2xz - 4xz) + (yz - 5yz)`
= `5xy - 6xz - 4yz`

Therefore, the equivalent expression is `5xy - 6xz - 4yz`.
Answered by GPT 3.5
To simplify the expression `5x^{2}+3x-2x^{2}+4x`, we can combine like terms.

Grouping the terms with like powers of x:

= `(5x^{2} - 2x^{2}) + (3x + 4x)`
= `3x^{2} + 7x`

Therefore, the equivalent expression is `3x^{2} + 7x`.
Answered by GPT 3.5
To simplify the expression `-3\left(2x+5\right)\ +\ 7`, we need to apply the distributive property by multiplying `-3` to each term inside the parentheses.

= `-3 * 2x - 3 * 5 + 7`
= `-6x - 15 + 7`
= `-6x - 8`

Therefore, the equivalent expression is `-6x - 8`.

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