Simplify. (5x2 + 3x - 7) - (x2 - 7x + 4)
Simplify. (5x^2 + 3x - 7) - (x^2 - 7x + 4)
distribute - sign to get
-x^2 +7x -4
put on top of one another and add
5x^2 + 3x - 7
-x^2 + 7x - 4
-------------
4x^2 +10x -11
To simplify the expression (5x^2 + 3x - 7) - (x^2 - 7x + 4), you can follow these steps:
1. Distribute the negative sign to every term inside the second parentheses:
-(x^2) + 7x - 4
2. Write the two expressions (5x^2 + 3x - 7) and -(x^2) + 7x - 4 on top of each other:
5x^2 + 3x - 7
- (x^2) + 7x - 4
3. Combine like terms by adding or subtracting corresponding coefficients:
5x^2 - x^2 + 3x + 7x - 7 - 4
This simplifies to:
4x^2 + 10x - 11
Therefore, the simplified expression is 4x^2 + 10x - 11.