{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Algebraic Identities", "Perfect Square Trinomials" ], "new_concepts": [], "current_concepts": [ "Algebraic Identities", "Perfect Square Trinomials", "Binomial Expansion" ] } ## Identificar la identidad algebraica del binomio al cuadrado \[ (a - b)^2 = a^2 - 2ab + b^2 \] ## Aplicar la fórmula al binomio dado \[ \begin{aligned} a &= m \\ b &= 1 \\ (m - 1)^2 &= (m)^2 - 2(m)(1) + (1)^2 \end{aligned} \] ## Simplificar la expresión resultante \[ (m - 1)^2 = m^2 - 2m + 1 \] $(m-1)^2 =$ $m^2 - 2m + 1$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Perfect Square Trinomials" ] }

\$(m-1)^2 =\$

QUESTION IMAGE

$\$(m-1)^2 =\$$

Question

\$(m-1)^2 =\$

Explanation:

Identificar la identidad algebraica del binomio al cuadrado

$$ (a - b)^2 = a^2 - 2ab + b^2 $$

Aplicar la fórmula al binomio dado

$$ LATEXBLOCK0 $$

Simplificar la expresión resultante

$$ (m - 1)^2 = m^2 - 2m + 1 $$

Answer:

$(m-1)^2 =$ <blank>$m^2 - 2m + 1$</blank>