Question

2а^3+9-2(а+1)*(а^2-а+1) при а=0.5

Answer 1

2a³+9-2(a+1)(a²-a+a)=2a³+9-2(a³+1³)=2a³+9-2a³-2=7
Ответ: 7

Answer 2

To evaluate the expression 2a^3 + 9 - 2(a + 1)(a^2 - a + 1) when a = 0.5, we substitute the value of a into the expression and simplify it step by step.

Let's begin:

1. Substitute a = 0.5 into the expression: 2(0.5)^3 + 9 - 2(0.5 + 1)(0.5^2 - 0.5 + 1)

2. Simplify the exponentiation: 2(0.125) + 9 - 2(0.5 + 1)(0.25 - 0.5 + 1)

3. Simplify the multiplication inside parentheses: 0.25 + 9 - 2(0.5 + 1)(0.25 - 0.5 + 1)

4. Simplify the addition inside parentheses: 0.25 + 9 - 2(1.5)(0.25 - 0.5 + 1)

5. Simplify the subtraction inside parentheses: 0.25 + 9 - 2(1.5)(0.75 + 1)

6. Simplify the multiplication: 0.25 + 9 - 2(1.5)(1.75)

7. Simplify the multiplication: 0.25 + 9 - 2(2.625)

8. Simplify the multiplication: 0.25 + 9 - 5.25

9. Perform the addition: 9.25 - 5.25

10. Perform the subtraction: 4

Therefore, when a = 0.5, the value of the expression 2a^3 + 9 - 2(a + 1)(a^2 - a + 1) is 4.