multiply.

$(5x - 2z)(7x - 5z)$

simplify your answer.

Question

multiply.

$(5x - 2z)(7x - 5z)$

simplify your answer.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Polynomial Expansion", "FOIL Method" ], "new_concepts": [], "current_concepts": [ "Polynomial Expansion", "FOIL Method", "Combining Like Terms" ] } ## Apply the FOIL method Using the *FOIL Method* and *Polynomial Expansion* knowledge points $$ \begin{aligned} (5x - 2z)(7x - 5z) &= (5x)(7x) + (5x)(-5z) + (-2z)(7x) + (-2z)(-5z) \ &= 35x^2 - 25xz - 14xz + 10z^2 \end{aligned} $$ ## Combine like terms Using the *Combining Like Terms* knowledge point $$ \begin{aligned} -25xz - 14xz &= -39xz \ 35x^2 - 25xz - 14xz + 10z^2 &= 35x^2 - 39xz + 10z^2 \end{aligned} $$ Multiply. $$(5x - 2z)(7x - 5z)$$ Simplify your answer. $35x^2 - 39xz + 10z^2$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Expansion" ] }

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QUESTION IMAGE

Question

Explanation:

Apply the FOIL method

Combine like terms

Answer: