(9 - 4 × 86) - 3(27 × 10 - 9)²

Steps to Solve

1. Evaluate the multiplication and exponentiation inside brackets first

Start by solving the multiplication and exponentiation in the expression:

• In the first part, calculate $4 \times 86$.

$$ 4 \times 86 = 344 $$

Thus, the expression now looks like:

$$ (9 - 344) - 3(27 \times 10 - 9)^2 $$

• Next, evaluate $27 \times 10$.

$$ 27 \times 10 = 270 $$

So, we rewrite the expression:

$$ (9 - 344) - 3(270 - 9)^2 $$

• Now, calculate $270 - 9$.

$$ 270 - 9 = 261 $$

So, our expression is now:

$$ (9 - 344) - 3(261)^2 $$

2. Calculate the value inside the first parentheses

Now compute $9 - 344$.

$$ 9 - 344 = -335 $$

So the expression simplifies to:

$$ -335 - 3(261)^2 $$

3. Square the value of 261 and multiply by 3

Calculate $(261)^2$ first.

$$ (261)^2 = 68121 $$

Now multiply by 3:

$$ 3 \times 68121 = 204363 $$

Now our expression becomes:

$$ -335 - 204363 $$

4. Final subtraction

Finally, do the subtraction:

$$ -335 - 204363 = -204698 $$