subtracting polynomials

find: $(4x^2y^3 + 2xy^2 - 2y) - (-7x^2y^3 + 6xy^2 - 2y)$

place the correct coefficients in the difference.

$\quadx^2y^3 + \quadxy^2 + \quady$

Question

subtracting polynomials

find: $(4x^2y^3 + 2xy^2 - 2y) - (-7x^2y^3 + 6xy^2 - 2y)$

place the correct coefficients in the difference.

$\quadx^2y^3 + \quadxy^2 + \quady$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Polynomial Subtraction Steps", "Like Terms" ], "new_concepts": [], "current_concepts": [ "Polynomial Subtraction Steps", "Like Terms", "Algebraic Expressions" ] } ## Distribute the negative sign $$ (4x^2y^3 + 2xy^2 - 2y) - (-7x^2y^3 + 6xy^2 - 2y) = 4x^2y^3 + 2xy^2 - 2y + 7x^2y^3 - 6xy^2 + 2y $$ ## Group and combine like terms $$ \begin{aligned} (4 + 7)x^2y^3 + (2 - 6)xy^2 + (-2 + 2)y &= 11x^2y^3 - 4xy^2 + 0y \end{aligned} $$ Place the correct coefficients in the difference. 11$x^2y^3 +$ -4$xy^2 +$ 0$y$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Subtraction Steps" ] }

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QUESTION IMAGE

Question

Explanation:

Distribute the negative sign

Group and combine like terms

Answer: