using the foil method. combine like terms.

\(2x + 2)(7x - 2)\

Question

using the foil method. combine like terms.

\(2x + 2)(7x - 2)\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "FOIL Method", "Polynomial Simplification" ], "new_concepts": [], "current_concepts": [ "FOIL Method", "Polynomial Multiplication", "Polynomial Simplification" ] } ## Apply the FOIL method Using the *FOIL Method* knowledge point $$ \begin{aligned} (2x + 2)(7x - 2) &= \text{First} + \text{Outer} + \text{Inner} + \text{Last} \ &= (2x)(7x) + (2x)(-2) + (2)(7x) + (2)(-2) \ &= 14x^2 - 4x + 14x - 4 \end{aligned} $$ ## Combine like terms Using the *Polynomial Simplification* knowledge point $$ \begin{aligned} 14x^2 + (-4x + 14x) - 4 &= 14x^2 + 10x - 4 \end{aligned} $$ $14x^2 + 10x - 4$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Multiplication" ] }

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Question

Explanation:

Apply the FOIL method

Combine like terms

Answer: