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dangina [55]
3 years ago
15

1. (2x+5)+(3x-2)= 2. (3x-2)-(2x+5)= 3. (2x+5)-(3x-2=

Mathematics
1 answer:
DIA [1.3K]3 years ago
6 0

Answer:

  1. 5x+3
  2. x -7
  3. -x +7

Step-by-step explanation:

Combine like terms. The associative and commutative properties of addition apply, as does the distributive property.

__

1. (2x+5)+(3x-2) = (2x +3x) +(5 -2) = 5x +3

__

2. (3x-2)-(2x+5) = 3x -2 -2x -5 = (3x -2x) +(-2 -5) = x -7

__

3. (2x+5)-(3x-2) = 2x +5 -3x +2 = (2x -3x) +(5 +2) = -x +7

_____

<em>Additional comment</em>

Note that swapping the order of operands in a subtraction problem (problems 2 and 3) will cause the sign of the result to reverse.

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