Question

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

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

Thank youuu!!

Answer 1

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

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

2. Simplify the expression
`(1)/(3) + 6\left((2)/(3) - (1)/(6)\right)^2` in the same way:

• 
  `(2)/(3)-(1)/(6)=(2\cdot 2-1)/(6)=(3)/(6)=(1)/(2)`
• 
  `\left((2)/(3) - (1)/(6)\right)^2=\left((1)/(2) \right)^2=(1)/(4)`
• 
  `(1)/(3) + 6\left((2)/(3) - (1)/(6)\right)^2=(1)/(3) + 6\cdot (1)/(4)=(1)/(3)+(3)/(2)=(1\cdot 2+3\cdot 3)/(6)=(11)/(6)`