2. ((7/6)⁴ *18⁸* 42^(-3)/3⁵ -6³) / 51 = ((7⁴/6⁴ *6⁸*3⁸* 1/6³*7³*3⁵ -6³) / 51 =
((7⁴/6⁴ *6⁸*3⁸* 1/6³*7³*3⁵ -6³) / 51 =(7*6*3³ -6³)/51 =3³(42 -2³)/51 =3³*34/(3*17) =
=3²*2 =18.
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3. √(1+√((66² -48²)/228) ) =√(1+6√(11² -8²)/228) ) =√(1+6√(57/(57*4)) ) =
√(1+6√(1/4) ) = √(1+6/2 ) =√4 =2.
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5. 3^(0,3) : 3^(-0,2)/(1 -3^0,5) +2/(1-√3) =
3^(0,3) *(1 -√3)/ 3^(-0,2) +2(1+√3)/(1-√3)((1+√3)=
3^(0,3 -(-0,2)) *(1 -√3) +2(1+√3)/(1-3)=
√3 *(1 -√3) -(1+√3) =√3 -3 -1-√3 = - 4.
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6. (√21 -2)√(25 +2√(84)) = (√21 -2)√(25 +2√(4*21)) =
(√21 -2)√(21 +2*√(21)*2 +2²) = (√21 -2)√(√21 +2)² = (√21 -2)(√21 +2) =
21 -4 = 17.
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8. 4m(∛m +√2)/(m² - 8) : 1/(∛m -√2)(∛m⁴ +2∛m² +4) =
4m(∛m +√2)/(m² - 8) * (∛m -√2)(∛m⁴ +2∛m² +4) =
4m(∛m² -2)((∛m²) +2∛m² +2²)/(m² - 8) =
4m((∛m²)³ -2³) /(m² - 8) =4m(m² -8) /(m² - 8) =4m = || m =7|| =4*7 = 28.
№1
а) -0,2 * (2х-1)=-0,2*2х+0,2*1=-0,4х+0,2
б) 0,4а * (-5b)=-2а²
в) 3 * (-х-1)=-3х-3
№2
3а - (9b-(2а+1))=3в-9b+(2а+1)=5а-9b+1
№3
3 * (а-3b) - 5 * (а - 2b)=3а-9b-5а+10b=-2а+b
а = -1,5 и b= -1. -2*(-1,5)-1=3-1=2
№4
а) (4а - b) - 5а + 3b=4а-b-5а+3b=-а+2b
б) - (3х - 0,4) + (0,4х - 3)=-3х+0,4+0,4х-3=3,4х-2,6
в) 9 - 2 * (х + 1) + х.=9-2х-2+х=7-х
<span>а) 2х+4>0, 2х>-4, x> - 2, (-2, +∞)
б)2х+4<4, 2x<0, x<0, (-∞,0)
в)2х+4<0, 2x< - 4, x< -2 </span><span>(-∞,-2)
г)2х+4>2, 2x>-2, x>-1 </span><span><span> (-1, +∞) </span></span>
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