Can someone please explain this!
(-5x^2+3)-(-x^3+9x^2+9)

9514 1404 393

  x^3 -14x^2 -6

Step-by-step explanation:

Your expression is the difference of two polynomials. The parentheses can be removed by using the distributive property. The minus sign outside the second set of parentheses applies to each term inside parentheses.

  -5x^2 +3 +x^3 -9x^2 -9

Now, you can group like terms. In "standard form", the degrees of the terms decrease from left to right.

  x^3 +(-5x^2 -9x^2) +(3 -9)

And combine like terms.

  x^3 -14x^2 -6 . . . . . simplified form of the given expression