rewrite without parentheses and simplify.

$(5x - 6u)^2$

Question

rewrite without parentheses and simplify.

$(5x - 6u)^2$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Polynomial Expansion", "FOIL Method", "Difference of Squares" ], "new_concepts": [], "current_concepts": [ "Polynomial Expansion", "FOIL Method", "Difference of Squares" ] } ## Identify the expression structure Using the *Polynomial Expansion* knowledge point $$ (5x - 6u)^2 = (5x - 6u)(5x - 6u) $$ ## Expand using binomial multiplication Using the *FOIL Method* knowledge point $$ \begin{aligned} (5x - 6u)(5x - 6u) &= (5x)(5x) + (5x)(-6u) + (-6u)(5x) + (-6u)(-6u) \ &= 25x^2 - 30xu - 30xu + 36u^2 \end{aligned} $$ ## Combine like terms Using the *Polynomial Expansion* knowledge point $$ 25x^2 - 60xu + 36u^2 $$ $25x^2 - 60xu + 36u^2$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Expansion" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the expression structure

Expand using binomial multiplication

Combine like terms

Answer: