perform the indicated operation(s) and simplify.

\-3x^3 - -13 + 3x^2 - 5(3 - 5x^2)\

Question

perform the indicated operation(s) and simplify.

\-3x^3 - -13 + 3x^2 - 5(3 - 5x^2)\

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" ], "new_concepts": [ "Polynomial Simplification", "Distributive Property with Polynomials" ], "current_concepts": [ "Polynomial Subtraction", "Polynomial Simplification", "Distributive Property with Polynomials" ] } ## Simplify the expression inside the brackets $$ \begin{aligned} -13 + 3x^2 - 5(3 - 5x^2) &= -13 + 3x^2 - 15 + 25x^2 \ &= 28x^2 - 28 \end{aligned} $$ ## Subtract the simplified expression from the leading term $$ \begin{aligned} -3x^3 - [28x^2 - 28] &= -3x^3 - 28x^2 + 28 \end{aligned} $$ Perform the indicated operation(s) and simplify. $-3x^3 - [-13 + 3x^2 - 5(3 - 5x^2)] =$ $-3x^3 - 28x^2 + 28$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Simplification" ] }

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QUESTION IMAGE

Question

Explanation:

Simplify the expression inside the brackets

Subtract the simplified expression from the leading term

Answer: