<span>(−8a − 2b)(−3a + 9b) + (6a + 8b)(7a − 9b) = 24a</span>² - 72ab = 6ab - 18b² + 42a² - 54ab + 56ab - 72b² = 66a² + 8ab -90b²<span>
(−9c − 7)(c + 9) = -9c</span>² - 81c - 7c - 63 = -9c² - 88c - 63<span>
(−7m − 8)(−n − 3) = 7mn</span> + 21m + 8n + 24<span>
(3m + 2)(7n + 8) = 21mn + 24m + 14n + 16</span>
1) F(x) = x^-1/-1 + C = -1/x + C
-1 = -1/1 + C
C = 0
Ответ: F(x) = -1/x
2) F(x) = x^-2/-2 +C = -1/2x + C
0 = -1/2*(-1) + C
C = -1/2
Ответ: F(x) = -1/2x -1/2
3) F(x) = 2x - tgx + C
π/2 = 2*π/4 - tgπ/4 + C
π/2 = π/2 - 1 + C
C = 1
Ответ: F(x) = 2x - tgx + 1
4) F(x) = -2Ctgx + x + C
π/4 = -2*Ctgπ/4 + x + C
π/4 = -2*1 + π/4 + C
C = 2
Ответ: F(x) = -2Ctgx + x + 2
Приведем подобные слагаемые
6^(x^2-4x-1) (1+6)=42
6^(x^2-4x-1)=42/7
6^(x^2-4x-1)=6
x^2-4x-1=1
x^2-4x-2=0
D=16+4*2*1=24
x=(4-2sqrt(3))/2
x=(4+2sqrt(3))/2
2(a + b)² - 5(a + b)³ - 0,1(a + b)⁴ =
= 2(a² + 2ab + b²) - 5(a³ + 3a²b + 3ab² + b³) - 0,1(a⁴ + 4a³b + 6a²b² + 4ab³ + b⁴) = 2a² + 4ab + 2b² - 5a³ - 15a²b - 15ab² - 5b³ - 0,1a⁴ - 0,4a³b - 0,6a²b² - 0,4ab³ - 0,1b⁴