question 8

multiply:

$(3x - 5y)^2$

(hint: when you have a question like this you should write it out, $(3x - 5y)(3x - 5y)$ then multiply!)

$9x^2 - 25y^2$
$9x^2 - 30xy + 25y^2$
$9x^2 + 25y^2$
$9x^2 + 30xy - 25y^2$

Question

question 8

multiply:

$(3x - 5y)^2$

(hint: when you have a question like this you should write it out, $(3x - 5y)(3x - 5y)$ then multiply!)

$9x^2 - 25y^2$
$9x^2 - 30xy + 25y^2$
$9x^2 + 25y^2$
$9x^2 + 30xy - 25y^2$

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", "Perfect Square Trinomials" ], "new_concepts": [], "current_concepts": [ "Polynomial Multiplication", "FOIL Method", "Perfect Square Trinomials" ] } ## Expand the squared binomial $$ (3x - 5y)^2 = (3x - 5y)(3x - 5y) $$ ## Apply the FOIL method $$ \begin{aligned} (3x - 5y)(3x - 5y) &= (3x)(3x) + (3x)(-5y) + (-5y)(3x) + (-5y)(-5y) \ &= 9x^2 - 15xy - 15xy + 25y^2 \end{aligned} $$ ## Combine like terms $$ 9x^2 - 30xy + 25y^2 $$

(A) $9x^2 - 25y^2$

(B) $9x^2 - 30xy + 25y^2$

(C) $9x^2 + 25y^2$

(D) $9x^2 + 30xy - 25y^2$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Multiplication" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Expand the squared binomial

Apply the FOIL method

Combine like terms

Answer: