multiply the binomials using the foil method. combine like terms.

$(x + 2)(x + 8)$

Question

multiply the binomials using the foil method. combine like terms.

$(x + 2)(x + 8)$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "FOIL Method", "Polynomial Addition" ], "new_concepts": [], "current_concepts": [ "FOIL Method", "Polynomial Addition", "Polynomial Multiplication" ] } ## Apply the FOIL method Using the *FOIL Method* knowledge point $$ \begin{aligned} (x+2)(x+8) &= \text{First} + \text{Outer} + \text{Inner} + \text{Last} \ &= (x \cdot x) + (x \cdot 8) + (2 \cdot x) + (2 \cdot 8) \ &= x^2 + 8x + 2x + 16 \end{aligned} $$ ## Combine like terms Using the *Polynomial Addition* knowledge point $$ \begin{aligned} x^2 + (8x + 2x) + 16 &= x^2 + (8 + 2)x + 16 \ &= x^2 + 10x + 16 \end{aligned} $$ Multiply the binomials using the FOIL method. Combine like terms. $$(x + 2)(x + 8) =$$ $x^2 + 10x + 16$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Multiplication" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Apply the FOIL method

Combine like terms

Answer: