Question
Subtract. Your answer should be a polynomial in standard form.
(3x^3+4x^2) -(2x^3+3x^2-x)=
(3x^3+4x^2) -(2x^3+3x^2-x)=
Answers
GPT 3.5
To subtract the polynomials, we need to combine like terms.
(3x^3 + 4x^2) - (2x^3 + 3x^2 - x)
First, distribute the negative sign to the terms inside the parentheses:
= 3x^3 + 4x^2 - 2x^3 - 3x^2 + x
Next, combine like terms:
= (3x^3 - 2x^3) + (4x^2 - 3x^2) + x
Simplify the coefficients:
= x^3 + (4 - 3)x^2 + x
= x^3 + x^2 + x
Therefore, the answer is x^3 + x^2 + x.
(3x^3 + 4x^2) - (2x^3 + 3x^2 - x)
First, distribute the negative sign to the terms inside the parentheses:
= 3x^3 + 4x^2 - 2x^3 - 3x^2 + x
Next, combine like terms:
= (3x^3 - 2x^3) + (4x^2 - 3x^2) + x
Simplify the coefficients:
= x^3 + (4 - 3)x^2 + x
= x^3 + x^2 + x
Therefore, the answer is x^3 + x^2 + x.