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1958 AMC 12 Question 30

AMC12 · 1958 AMC 12

Question 30

If $xy=b$ and $\dfrac1{x^2}+\dfrac1{y^2}=a,$ then $(x+y)^2$ equals:
  1. $(a+2b)^2$
  2. $a^2+b^2$
  3. $b(ab+2)$
  4. $ab(b+2)$
  5. $\dfrac1a+2b$