please help

Replace ∗ with a monomial so that the trinomial may be represented by a square of a binomial: * +2bc +100c^2

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  $x^2 +\ 2bc + 100c^2=(x+10c)^2\\ x^2+20xc+100c^2=(x+10c)^2$

  $20x=2b$

  $x=0.1b$

 $(0.1b+10c)^2=0.01b^2+2bc+100c^2$

  !