1. 2x⁴-32=2(x⁴-16)=2(x²-4)(x²+4)=2(x-2)(x+2)(x²+4);
Итог: 2(x-2)(x+2)(x²+4).
1) (58 4:15 + 56 7:24): 0,8 +2 1:9 *0,225: 8 3:4*3:5 = (874:15+ 1351:24): 2/5 + 19 : 9*9 : 40 : 35 : 4*3 : 5= (41241/360: 2/5 + 19/40) / 21/4 = (41241/144+ 19/40) / 21/4 = 68849/240 : 21/4= 68849/1260= 54 809/1260
2) (7 1/9 - 2 14/15) : (2 2/3 + 1 3/5) - (3/4-1/20) * (5/7 - 5/14) -48 = (64/9 - 44/15): (8/3 + 8/5) - 7/10*5/14 - 48 = 564/135 : 64/15 - 1/4 - 48 = 47/48 - 1/4 -48 = 35/48 - 48 = - 47 13/48
Здесь применим формулу:Sin(α+ß) = SinαCosß + CosαSin<span>ß
наш пример:
Sin(5x + 3x) = 1/2
Sin8x = 1/2
8x = (-1)^narcSin1/2 + n</span>π, n ∈Z
8x = (-1)^n π/6 + nπ, n ∈Z
x = (-1)^n π/48 + nπ/8 , n ∈Z