simplify (9x^2-6x+)-(x^2+4x-39)=

whats the difference

1 answer

To simplify the expression \( (9x^2 - 6x + ) - (x^2 + 4x - 39) \), we first rewrite it clearly:

  1. Assume the first part \( 9x^2 - 6x + \) has no constant term (it's likely a typo and should be \( 9x^2 - 6x + 0 \)).
  2. Thus our expression becomes \( (9x^2 - 6x) - (x^2 + 4x - 39) \).

Now, let's distribute the negative sign:

\[ 9x^2 - 6x - (x^2 + 4x - 39) = 9x^2 - 6x - x^2 - 4x + 39 \]

Now, combine like terms:

  1. Combine \( 9x^2 - x^2 = 8x^2 \).
  2. Combine \( -6x - 4x = -10x \).
  3. The constant term is \( +39 \).

Putting it all together, we get:

\[ 8x^2 - 10x + 39 \]

So the simplified expression is:

\[ 8x^2 - 10x + 39 \]