{"status": "success", "data": {"description_md": "Which of the following is equivalent to$$(2+3)(2^2+3^2)(2^4+3^4)(2^8+3^8)(2^{16}+3^{16})(2^{32}+3^{32})(2^{64}+3^{64})?$$\n\n$\\textbf{(A) }3^{127}+2^{127} \\qquad \\textbf{(B) }3^{127}+2^{127}+2\\cdot 3^{63}+3\\cdot 2^{63} \\qquad \\textbf{(C) }3^{128}-2^{128} \\qquad \\textbf{(D) }3^{128}+2^{128} \\qquad \\textbf{(E) }5^{127}$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>Which of the following is equivalent to <span class=\"katex--display\">(2+3)(2^2+3^2)(2^4+3^4)(2^8+3^8)(2^{16}+3^{16})(2^{32}+3^{32})(2^{64}+3^{64})?</span> </p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) }3^{127}+2^{127} \\qquad \\textbf{(B) }3^{127}+2^{127}+2\\cdot 3^{63}+3\\cdot 2^{63} \\qquad \\textbf{(C) }3^{128}-2^{128} \\qquad \\textbf{(D) }3^{128}+2^{128} \\qquad \\textbf{(E) }5^{127}</span> </p>&#10;<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2021 AMC 12A Problem 9", "can_next": true, "can_prev": true, "nxt": "/problem/21_amc12A_p10", "prev": "/problem/21_amc12A_p08"}}