Question

упростите выражения
1) 1000+а^6-(a^2+10a)(a^4-10a^2+100)
2)a^3-9)(a^6+9a^3 +81)-a^9-729
3)0,512t^3-100+(0,8t+5)(0,64t^2-4t+25)
4)(1,1d-c^3)(1,21d^2+1,1c^3d+c^6)-1,331d^3+2c^9

Answer 1

Ответ:

Объяснение:

1) 1000 + a^6 - (a^2+10a)(a^4-10a^2+100) =

1000 + a^6 - a^6 - 10a^5 + 10a^4 + 100a^3 - 100a^2 - 1000a =

= -10a^5 + 10a^4 + 100a^3 - 100a^2 - 1000a + 1000

2) (a^3-9)(a^6+9a^3+81) - a^9 - 729 =

= a^9 - 9a^6 + 9a^6 - 81a^3 + 81a^3 - 729 - a^9 - 729 = -1458

3) 0,512t^3 - 100 + (0,8t+5)(0,64t^2-4t+25) =

= 0,512t^3 - 100 + 0,512t^3 + 3,2t^2 - 3,2t^2 - 20t + 20t + 125 = 1,024t^3 + 25

4) (1,1d-c^3)(1,21d^2+1,1c^3d+c^6) - 1,331d^3 + 2c^9 =

= 1,331d^3 - 1,21d^2c^3 + 1,21c^3d^2 - 1,1c^6d + 1,1dc^6 - c^9 - 1,331d^3 + 2c^9 = c^9