Question

Subtract.

(3x^3 − 3x ) − ( x^3 − 4 x + 5 )
Enter your answer in simplest form by filling in the boxes

NCVA please help

Answer 1

`\sf 2x^3 + x - 5`

Explanation:

In order to subtract the given expressions (3x³ - 3x) - (x³ - 4x + 5)\), we need to distribute the negative sign inside the second expression and then combine like terms.

`\sf (3x^3 - 3x) - (x^3 - 4x + 5)`

Distribute the negative sign inside the second expression:

`\sf 3x^3 - 3x - x^3 + 4x - 5`

Subtract the coefficients of like terms:

`\sf (3 - 1)x^3 + (-3 + 4)x - 5`

Simplify the coefficients:

`\sf 2x^3 + x - 5`

So, the result of the subtraction is:

`\sf 2x^3 + x - 5`