Question
What is the simplified form of (3x^3 – 4x^2 + 6x) – (5x^3 + 2x^2 – 3x) in standard form?
Answers
GPT 3.5
To simplify (3x^3 – 4x^2 + 6x) – (5x^3 + 2x^2 – 3x), we can distribute the negative sign inside the parentheses:
3x^3 – 4x^2 + 6x - 5x^3 - 2x^2 + 3x
Combining like terms:
3x^3 - 5x^3 - 4x^2 - 2x^2 + 6x + 3x
-2x^3 - 6x^2 + 9x
Therefore, the simplified form of (3x^3 – 4x^2 + 6x) – (5x^3 + 2x^2 – 3x) in standard form is -2x^3 - 6x^2 + 9x.
3x^3 – 4x^2 + 6x - 5x^3 - 2x^2 + 3x
Combining like terms:
3x^3 - 5x^3 - 4x^2 - 2x^2 + 6x + 3x
-2x^3 - 6x^2 + 9x
Therefore, the simplified form of (3x^3 – 4x^2 + 6x) – (5x^3 + 2x^2 – 3x) in standard form is -2x^3 - 6x^2 + 9x.