simplify the expression $(4x - 3)(x + 5)$.

$4x^2 - 17x - 15$
$4x^2 + 17x - 15$
$4x^2 - 17x + 15$
$4x^2 + 17x + 15$

Question

simplify the expression $(4x - 3)(x + 5)$.

$4x^2 - 17x - 15$
$4x^2 + 17x - 15$
$4x^2 - 17x + 15$
$4x^2 + 17x + 15$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Distributive Property", "Combining Like Terms", "Polynomial Simplification" ], "new_concepts": [], "current_concepts": [ "Distributive Property", "Combining Like Terms", "Polynomial Simplification" ] } ## Apply the distributive property to expand the binomials $$ (4x - 3)(x + 5) = 4x(x + 5) - 3(x + 5) = 4x^2 + 20x - 3x - 15 $$ ## Combine like terms to simplify the expression $$ 4x^2 + (20x - 3x) - 15 = 4x^2 + 17x - 15 $$

(A) $4x^2 - 17x - 15$

(B) $4x^2 + 17x - 15$

(C) $4x^2 - 17x + 15$

(D) $4x^2 + 17x + 15$

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Apply the distributive property to expand the binomials

Combine like terms to simplify the expression

Answer: