Pomoc z matematyki :))
1) (a-2b-3)/(2a-b)
po podstaiweniu za a i b:
(3-2*(-2)-3)/(2*3 -(-2))= (3+4-3)/(6+2) = 4/8 = 1/2
2) (7a)/(a+b) *(-1)/(5a+1)
(7*3)/(3-2) * (-1)/(5*3 +1) = 21/1 * (-1)/16 = - 21/16
3) (a+4)/(a+|b|) * (-2b+3)/(a-1)
(3+4)/(3+|-2|) * (-2*(-2) +3)/(3-1) = 7/(3+2) * (4+3)/2 = 7/5 * 7/2 = 49/10
4) (2a+sqrt(3))/(4*sqrt(5+b)) * (3a+2b)/(s*sqrt(5+a))
(2*3 +sqrt(3))/(4*sqrt(5-2)) * (3*3+2*(-2))/(6*sqrt(5+3)) =
= (6+sqrt(3))/ (4*sqrt(3)) * (9-4)/ (6*sqrt(8)) =
(6+sqrt(3)) * 5 30+5*sqrt(3)
= ---------------------------------- = -------------------- mnożąc licznik i mianownik *sqrt(6)
4*sqrt(3)) * (6*2*sqrt(2)) 48*sqrt(6)
30+5*sqrt(3) *sqrt(6) 30*sqrt(6) + 5*sqrt(18) 30*sqrt(6) + 15*sqrt(2)
= ------------------------------ = -------------------------------- = ---------------------------------
48*sqrt(6) * sqrt(6) 48 * 6 288
10*sqrt(6) +5*sqrt(2)
= -----------------------------
96
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1) (a-2b-3)/(2a-b)
po podstaiweniu za a i b:
(3-2*(-2)-3)/(2*3 -(-2))= (3+4-3)/(6+2) = 4/8 = 1/2
2) (7a)/(a+b) *(-1)/(5a+1)
po podstaiweniu za a i b:
(7*3)/(3-2) * (-1)/(5*3 +1) = 21/1 * (-1)/16 = - 21/16
3) (a+4)/(a+|b|) * (-2b+3)/(a-1)
po podstaiweniu za a i b:
(3+4)/(3+|-2|) * (-2*(-2) +3)/(3-1) = 7/(3+2) * (4+3)/2 = 7/5 * 7/2 = 49/10
4) (2a+sqrt(3))/(4*sqrt(5+b)) * (3a+2b)/(s*sqrt(5+a))
po podstaiweniu za a i b:
(2*3 +sqrt(3))/(4*sqrt(5-2)) * (3*3+2*(-2))/(6*sqrt(5+3)) =
= (6+sqrt(3))/ (4*sqrt(3)) * (9-4)/ (6*sqrt(8)) =
(6+sqrt(3)) * 5 30+5*sqrt(3)
= ---------------------------------- = -------------------- mnożąc licznik i mianownik *sqrt(6)
4*sqrt(3)) * (6*2*sqrt(2)) 48*sqrt(6)
30+5*sqrt(3) *sqrt(6) 30*sqrt(6) + 5*sqrt(18) 30*sqrt(6) + 15*sqrt(2)
= ------------------------------ = -------------------------------- = ---------------------------------
48*sqrt(6) * sqrt(6) 48 * 6 288
10*sqrt(6) +5*sqrt(2)
= -----------------------------
96