multiply.

\(5x - 3)(7x - 1)\

simplify your answer.

Question

multiply.

\(5x - 3)(7x - 1)\

simplify your answer.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Polynomial Expansion", "FOIL Method" ], "new_concepts": [], "current_concepts": [ "Polynomial Expansion", "FOIL Method" ] } ## Apply the FOIL method to expand the binomials $$ \begin{aligned} (5x - 3)(7x - 1) &= (5x)(7x) + (5x)(-1) + (-3)(7x) + (-3)(-1) \ &= 35x^2 - 5x - 21x + 3 \end{aligned} $$ ## Combine like terms to simplify the expression $$ \begin{aligned} 35x^2 - 5x - 21x + 3 &= 35x^2 + (-5 - 21)x + 3 \ &= 35x^2 - 26x + 3 \end{aligned} $$ Multiply. $$(5x - 3)(7x - 1)$$ Simplify your answer. $35x^2 - 26x + 3$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Expansion" ] }

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QUESTION IMAGE

Question

Explanation:

Apply the FOIL method to expand the binomials

Combine like terms to simplify the expression

Answer: