Simplify (10-3)^2-6+2(8- square root of 64)

${(10 - 3)}^{2} - 6 + 2 (8 - \sqrt{64})$

Simplify each term.

Subtract $3$ from $10$ .

$7^{2} - 6 + 2 (8 - \sqrt{64})$

Raise $7$ to the power of $2$ .

$49 - 6 + 2 (8 - \sqrt{64})$

Simplify each term.

Rewrite $64$ as $8^{2}$ .

$49 - 6 + 2 (8 - \sqrt{8^{2}})$

Pull terms out from under the radical, assuming positive real numbers.

$49 - 6 + 2 (8 - 1 \cdot 8)$

Multiply $- 1$ by $8$ .

$49 - 6 + 2 (8 - 8)$

Subtract $8$ from $8$ .

$49 - 6 + 2 \cdot 0$

Multiply $2$ by $0$ .

$49 - 6 + 0$

Simplify by adding and subtracting.

Subtract $6$ from $49$ .

$43 + 0$

Add $43$ and $0$ .

$43$