QuestionAugust 26, 2025

Subtract. (4x^3-6x^2+3x)-(5x^2+2x+3) (4x^3-6x^2+3x)-(5x^2+2x+3)= square

Subtract. (4x^3-6x^2+3x)-(5x^2+2x+3) (4x^3-6x^2+3x)-(5x^2+2x+3)= square
Subtract.
(4x^3-6x^2+3x)-(5x^2+2x+3)
(4x^3-6x^2+3x)-(5x^2+2x+3)= square

Solution
4.0(304 votes)

Answer

4x^3 - 11x^2 + x - 3 Explanation 1. Distribute the Negative Sign Distribute the negative sign to each term in the second polynomial: -(5x^{2}+2x+3) = -5x^2 - 2x - 3. 2. Combine Like Terms Add the polynomials: (4x^{3}-6x^{2}+3x) + (-5x^2 - 2x - 3) = 4x^3 - 6x^2 - 5x^2 + 3x - 2x - 3. Simplify by combining like terms: 4x^3 - 11x^2 + x - 3.

Explanation

1. Distribute the Negative Sign<br /> Distribute the negative sign to each term in the second polynomial: $-(5x^{2}+2x+3) = -5x^2 - 2x - 3$.<br />2. Combine Like Terms<br /> Add the polynomials: $(4x^{3}-6x^{2}+3x) + (-5x^2 - 2x - 3) = 4x^3 - 6x^2 - 5x^2 + 3x - 2x - 3$.<br /> Simplify by combining like terms: $4x^3 - 11x^2 + x - 3$.
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