Question

(4-(-1/9)^2-(-1/9)×(-1/9+1) ​

Answer 1

=16-2·4·₍⁻1/9₎+₍-1/9₎²-₍-1/9₎²+1/9=16+8/9+1/9=17

Answer 2

Let's solve the expression step by step:

1. First, calculate (-1/9)^2: (-1/9)^2 = (-1/9) * (-1/9) = 1/81

2. Next, calculate (-1/9)×(-1/9+1): (-1/9)×(-1/9+1) = (-1/9)×(1-1/9) = (-1/9)×(8/9) = -8/81

3. Finally, put it all together and solve the expression: 4 - (-1/9)^2 - (-1/9)×(-1/9+1) = 4 - 1/81 - (-8/81)

To subtract a negative number, you can rewrite it as addition: 4 - 1/81 + 8/81

Now, combine the fractions: 4 + (8/81 - 1/81) = 4 + 7/81

The final result is: 4 + 7/81 = 4 + 0.0864 ≈ 4.0864