{"status": "success", "data": {"description_md": "For [[real number]]s $a$ and $b$, define $a \\textdollar b$ $=(a-b)^2$. What is $(x-y)^2\\textdollar(y-x)^2$?\n\n$\\mathrm{(A)}\\ 0\\qquad\\mathrm{(B)}\\ x^2+y^2\\qquad\\mathrm{(C)}\\ 2x^2\\qquad\\mathrm{(D)}\\ 2y^2\\qquad\\mathrm{(E)}\\ 4xy$", "description_html": "<p>For [[real number]]s  <span class=\"katex--inline\">a</span>  and  <span class=\"katex--inline\">b</span> , define  <span class=\"katex--inline\">a \\textdollar b</span>   <span class=\"katex--inline\">=(a-b)^2</span> . What is  <span class=\"katex--inline\">(x-y)^2\\textdollar(y-x)^2</span> ?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ 0\\qquad\\mathrm{(B)}\\ x^2+y^2\\qquad\\mathrm{(C)}\\ 2x^2\\qquad\\mathrm{(D)}\\ 2y^2\\qquad\\mathrm{(E)}\\ 4xy</span> </p>\n<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": 1, "problem_name": "2008 AMC 10B Problem 5", "can_next": true, "can_prev": true, "nxt": "/problem/08_amc10B_p06", "prev": "/problem/08_amc10B_p04"}}