Questions: Subtract. (5 x^3-5 x^2+4 x-4)-(9 x^3-8 x^2+4) (5 x^3-5 x^2+4 x-4)-(9 x^3-8 x^2+4)= (Simplify your answer.)

Transcript text: Subtract. \[ \left(5 x^{3}-5 x^{2}+4 x-4\right)-\left(9 x^{3}-8 x^{2}+4\right) \] \[ \left(5 x^{3}-5 x^{2}+4 x-4\right)-\left(9 x^{3}-8 x^{2}+4\right)= \] (Simplify your answer.)

Solution

Solution Steps

Step 1: Distribute the negative sign

First, distribute the negative sign to each term inside the second parentheses: \[ \left(5x^{3} - 5x^{2} + 4x - 4\right) - \left(9x^{3} - 8x^{2} + 4\right) = 5x^{3} - 5x^{2} + 4x - 4 - 9x^{3} + 8x^{2} - 4. \]

Step 2: Combine like terms

Next, combine like terms: