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1988 AMC 12 Question 19

AMC12 · 1988 AMC 12

Question 19

Simplify $$
\frac{\begin{gathered} bx(a^2x^2+2a^2y^2+b^2y^2)\\ {}+ay(a^2x^2+2b^2x^2+b^2y^2) \end{gathered}}{bx+ay}.
$$
  1. $a^2x^2+b^2y^2$
  2. $(ax+by)^2$
  3. $(ax+by)(bx+ay)$
  4. $2(a^2x^2+b^2y^2)$
  5. $(bx+ay)^2$