Answer:
-14x
Explanation:
-5x^2 -7x + 2 - (-5x + 7x + 2)
-5x^2 - 7x + 2 + 5x - 7x -2
-14x
Explanatory Step 0:
- When we want to subtract A from B, we're taking away from B so the equation is B - A
Step 1:
- Thus, the first expression (-5x^2 + 7x + 2) comes second and goes on the right side of the minus side,
- while the second expression (-5x^2 - 7x + 2) comes first and goes on the left side
- We'll need parentheses around the first expression (-5x^2 + 7x + 2) to do step 2

Step 2: We're subtracting the entire expression, so we can distribute the minus sign to everything in the parentheses and simplify by combining like terms:

Optional Step 3:
Since the simplified expression is -14x, we can check by plugging in a number for x and see that we get the same answer for the simplified expression, 14x, and the original subtraction expression, -5x^2 -7x + 2 - (-5x^2 + 7x + 2). Let's try 2 for x:
Plugging in 2 for x in simplified expression, -14x:

Plugging in 2 for x in original subtraction expression, -5x^2 -7x + 2 - (-5x^2 + 7x + 2):

Since the two answers are the same, we've correctly subtracted -5x^2 + 7x + 2 from -5x^2 - 7x +2