Subtract minus, 5, x, squared, plus, 7, x, plus, 2−5x

2
+7x+2 from minus, 5, x, squared, minus, 7, x, plus, 2−5x
2
−7x+2.

Solve the problem just like the example below
⬇️
Perform the operation.
left parenthesis, x, plus, 9, right parenthesis, plus, left parenthesis, 3, x, squared, plus, 4, x, minus, 2, right parenthesis

(x+9)+(3x
2
+4x−2)
x, plus, 9, plus, 3, x, squared, plus, 4, x, minus, 2
x+9+3x
2
+4x−2

Combine like terms: 3, x, squared, plus, 5, x, plus, 7
3x
2
+5x+7

1 answer

Let's perform the operation as per your instructions:

Subtract \(-5x^2 + 7x + 2\) from \(-5x^2 - 7x + 2\):

\[ (-5x^2 - 7x + 2) - (-5x^2 + 7x + 2) \]

Now, rewrite it:

\[ -5x^2 - 7x + 2 + 5x^2 - 7x - 2 \]

Combine like terms:

  1. Combine \( -5x^2 + 5x^2 \): \[ -5x^2 + 5x^2 = 0 \]

  2. Combine \( -7x - 7x \): \[ -7x - 7x = -14x \]

  3. Combine \( 2 - 2 \): \[ 2 - 2 = 0 \]

So, we have:

\[ 0 - 14x + 0 = -14x \]

Thus, the final result is:

\[ -14x \]