question 7

multiply:
$(x + 3)^2$

(hint: when you have a binomial squared, write it out twice $(x + 3)(x + 3)$ and then multiply it out.)

$x^2 + 6x + 9$
$x^2 + 9$
$x^2 - 6x + 9$
$x^2 - 9$

Question

question 7

multiply:
$(x + 3)^2$

(hint: when you have a binomial squared, write it out twice $(x + 3)(x + 3)$ and then multiply it out.)

$x^2 + 6x + 9$
$x^2 + 9$
$x^2 - 6x + 9$
$x^2 - 9$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Polynomial Multiplication", "FOIL Method" ], "new_concepts": [ "Perfect Square Trinomials" ], "current_concepts": [ "Polynomial Multiplication", "FOIL Method", "Perfect Square Trinomials" ] } ## Expand the squared binomial $$ (x + 3)^2 = (x + 3)(x + 3) $$ ## Apply the FOIL method $$ \begin{aligned} (x + 3)(x + 3) &= x \cdot x + x \cdot 3 + 3 \cdot x + 3 \cdot 3 \ &= x^2 + 3x + 3x + 9 \end{aligned} $$ ## Combine like terms $$ x^2 + 3x + 3x + 9 = x^2 + 6x + 9 $$

(A) $x^2 + 6x + 9$

(B) $x^2 + 9$

(C) $x^2 - 6x + 9$

(D) $x^2 - 9$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Perfect Square Trinomials" ] }

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QUESTION IMAGE

Question

Explanation:

Expand the squared binomial

Apply the FOIL method

Combine like terms

Answer: