1.Oblicz:
a) [3+2*(4*1-2)] * [18-(2*4-7*1)]
b) 4/5 - (⅔ * 4⅛ - 1⅞ * ⅖) : 2
c) -⅔ - 1,6 * ¹⁵/₄² - (-2)³/8 : 2-³ + 5(√3 + 2)(√3 -2)
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a) [3+2*(4*1-2)] * [18-(2*4-7*1)]=
=[3+2*(4-2)]*[18-(8-7)]=
=[3+2*2]*[18-1]=
=7*17=
=119
-----------------------------------
b) 4/5 - (⅔ * 4⅛ - 1⅞ * ⅖) : 2=
=4/5 - (2/3 * 33/8 - 15/8 * 2/5) * 1/2=
=4/5 - (11/4 - 3/4) * 1/2=
=4/5 - 8/4 * 1/2=
=4/5 - 1=
=-1/5
-----------------------------------
c) -⅔ - 1,6 * ¹⁵/₄² - (-2)³/8 : 2-³ + 5(√3 + 2)(√3 -2)=
=-2/3 - 8/5 * 15/16 - (-8)/8 * 8 + 15-20=
=-2/3 - 3/2 + 8 -5=
=-4/6 -9/6 +3=
=-13/6 + 18/6=
=5/6
1.Oblicz:
a) [3+2*(4*1-2)] * [18-(2*4-7*1)] = [3+2*(4-2)] *[18-(8-7)] =
= [3+2*2] * [18-1] = [3+4]*17 = 7*17 = 119
b) 4/5 - (⅔ * 4⅛ - 1⅞ * ⅖) : 2 =
= 4/5 - (2/3 *33/8 - 15/8 * 2/5)*1/2 =
= 4/5 - ( 11/4 - 3/4)*1/2 =
= 4/5 - 8/4 *1/2 = 4/5 - 2*1/2 = 4/5 - 1 = 4/5 - 5/5 = -1/5
c) -⅔ - 1,6 * ¹⁵/₄² - (-2)³/8 : 2-³ + 5(√3 + 2)(√3 -2) =
= -2/3 - 16/10 * 15/16 +8/8 : 1/8 + 5(3-4) =
= -2/3 - 3/2 + 1 *8 + 5*(-1)=
= -2/3 - 3/2 + 8 - 5 = -4/6 - 9/6 + 8-5 = -13/6 + 3 = -2 1/6 + 3 = 5/6