(6n + 7)² - (3n + 2)² = (36n² + 84n + 49) - (9n² + 12n + 4) =
= 36n² - 9n² + 84n - 12n + 49 - 4 = 27n² + 72n + 45 = 9(3n² + 8n + 5) =
= 9(3n + 5)(n + 1)
586)
1) 2a³-5a+5+a³-4a-2=3a³-9a+3
2) 2a³-5a+5-(a³-4a-2)=a³-a+7
3) a³-4a-2-(2a³-5a+5)=-a³+a-7
588
1) 5.2a-(4.5a+4.8a²)=0.8a-4.8a²
2) 8x²+(4.5-x²)-(5.4x²-1)=1.6x²+5.5
3) -0.8b²+7.4b+(5.6b-0.2b²)=-b²+13b
4) (7.3y-y²+4)+0.5y²-(8.7y-2.4y²)=1.9y²-1.5y+4
7b(2b + 3) - (b + 6)(b - 5) = 14b² + 21b - (b² - 5b + 6b - 30) = 14b² + 21b - b2 -
- b + 30 = 13b²+ 20b
Если b = 0,1 , то
13 * 0,1² + 20 * 0,1 = 0,13 + 2 = 2,13
F(x)=(2x-7)^8
f`(x)=8*2(2x-7)^7=16(2x-7)^7