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Risolvi le seguenti equazioni di primo grado usando i prodotti notevoli ove possibile:

SEMPLICE MEDIO DIFFICILE

  1. $$\left( x-2\right) ^{2}=\left( x-1\right) ^{2}+5$$
  2. $$\left( 3x-2\right) ^{2}+2x-1=\left( 2x+1\right) ^{2}+5x\left( x-2\right) -3$$
  3. $$\left( 5x-1\right) ^{2}-7x\left( 3x-2\right) =\left( 2x-3\right) ^{2}$$
  4. $$\left( 3x-4\right) ^{2}-3x\left( 3x-5\right) +2=0$$
  5. $$\left( y+8\right) \left( y-8\right) =\left( y+8\right) ^{2}$$
  6. $$\left( 2x+1\right) ^{2}-3\left( 2x-1\right) \left( 2x+1\right) =-2\left( 2x+1\right) \left( 2x-3\right)$$
  7. $$\left( 2x-3\right) ^{2}-\left( x+3\right) \left( x-2\right) +5x=\left( x+4\right) \left( x-4\right) +3\left( x-2\right) ^{2}-4x^{2}-10x+4$$
  8. $$\left( 2x-3\right) ^{2}-\left( 4x-1\right) \left( x+2\right) =\left( 3x-1\right) \left( 3x+1\right) -9x^{2}$$