Question

A^2 -10a-9 при а=√3-3

Answer 1

(√3-3)^2-10(√3-3)-9=3-6√3+9-10√3+30-9=33-16√3

Answer 2

To evaluate the expression A^2 - 10A - 9 when A = √3 - 3, you can substitute this value for A and then perform the calculations:

A = √3 - 3

Now, let's calculate A^2 - 10A - 9:

A^2 = (√3 - 3)^2 = 3 - 6√3 + 9

Now, we'll substitute this value into the expression:

A^2 - 10A - 9 = (3 - 6√3 + 9) - 10(√3 - 3) - 9

Now, simplify the expression:

(3 - 6√3 + 9) - 10√3 + 30 - 9

Combine like terms:

(3 + 9 + 30 - 9) - 6√3 - 10√3

Now, simplify further:

(42 - 18) - 16√3

Now, perform the subtraction:

24 - 16√3

So, A^2 - 10A - 9, when A = √3 - 3, is equal to 24 - 16√3.