Simplify (6x2 − 3 + 5x3) − (4x3 − 2x2 − 16).
2x3 − x2 + 21
−2x3 + x2 − 21
x3 + 8x2 + 13
−x3 − 8x2 + 13
x3 + 8x2 + 13
To simplify the expression (6x^2 − 3 + 5x^3) − (4x^3 − 2x^2 − 16), we can distribute the negative sign to the terms inside the parentheses:
(6x^2 − 3 + 5x^3) − (4x^3 − 2x^2 − 16)
= 6x^2 − 3 + 5x^3 - 4x^3 + 2x^2 + 16
Next, let's combine like terms:
6x^2 + 2x^2 = 8x^2
5x^3 - 4x^3 = x^3
-3 + 16 = 13
Therefore, the simplified expression is:
x^3 + 8x^2 + 13