Question
Subtract
(x^3 - 2x + 5) - (2x^3 - 3x^2 + 4x - 3)
(x^3 - 2x + 5) - (2x^3 - 3x^2 + 4x - 3)
Answers
Answered by
GPT 3.5
To subtract (x^3 - 2x + 5) - (2x^3 - 3x^2 + 4x - 3), we can first remove the parentheses and then combine like terms:
(x^3 - 2x + 5) - (2x^3 - 3x^2 + 4x - 3)
= x^3 - 2x + 5 - 2x^3 + 3x^2 - 4x + 3
Next, we can combine like terms by adding or subtracting the coefficients of the same variable terms:
x^3 - 2x + 5 - 2x^3 + 3x^2 - 4x + 3
= (x^3 - 2x^3) + (3x^2) + (-2x - 4x) + (5 + 3)
Simplifying further:
- x^3 + 3x^2 - 6x + 8
Therefore, (x^3 - 2x + 5) - (2x^3 - 3x^2 + 4x - 3) simplifies to -x^3 + 3x^2 - 6x + 8.
(x^3 - 2x + 5) - (2x^3 - 3x^2 + 4x - 3)
= x^3 - 2x + 5 - 2x^3 + 3x^2 - 4x + 3
Next, we can combine like terms by adding or subtracting the coefficients of the same variable terms:
x^3 - 2x + 5 - 2x^3 + 3x^2 - 4x + 3
= (x^3 - 2x^3) + (3x^2) + (-2x - 4x) + (5 + 3)
Simplifying further:
- x^3 + 3x^2 - 6x + 8
Therefore, (x^3 - 2x + 5) - (2x^3 - 3x^2 + 4x - 3) simplifies to -x^3 + 3x^2 - 6x + 8.
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