AM28
contestada

1. Simplify -7 + {12 - 3[50 - 4(2+3)] }

2. Simplify 1/3 + 6 (2/3 - 1/6)^2

Thank youuu!!

Respuesta :

frika

1. Simplify [tex]-7 + (12 - 3[50 - 4(2+3)])[/tex] this expression step by step:

  • [tex]2+3=5;[/tex]
  • [tex]4\cdot (2+3)=4\cdot 5=20;[/tex]
  • [tex]50-4\cdot (2+3)=50-20=30;[/tex]
  • [tex]3\cdot [50-4(2+3)]=3\cdot 30=90;[/tex]
  • [tex]12-3\cdot[50-4(2+3)]=12-90=-78;[/tex]
  • [tex]-7 + (12 - 3[50 - 4(2+3)])=-7+(-78)=-7-78=-85.[/tex]

2. Simplify the expression [tex]\dfrac{1}{3} + 6\left(\dfrac{2}{3} - \dfrac{1}{6}\right)^2[/tex] in the same way:

  • [tex]\dfrac{2}{3}-\dfrac{1}{6}=\dfrac{2\cdot 2-1}{6}=\dfrac{3}{6}=\dfrac{1}{2}[/tex]
  • [tex]\left(\dfrac{2}{3} - \dfrac{1}{6}\right)^2=\left(\dfrac{1}{2} \right)^2=\dfrac{1}{4}[/tex]
  • [tex]\dfrac{1}{3} + 6\left(\dfrac{2}{3} - \dfrac{1}{6}\right)^2=\dfrac{1}{3} + 6\cdot \dfrac{1}{4}=\dfrac{1}{3}+\dfrac{3}{2}=\dfrac{1\cdot 2+3\cdot 3}{6}=\dfrac{11}{6}[/tex]

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