Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Subtract $3$ from $10$ .

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

Step 1.2

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

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

Step 1.3

Simplify each term.

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Step 1.3.1

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

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

Step 1.3.2

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

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

Step 1.3.3

Multiply $- 1$ by $8$ .

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

Step 1.4

Subtract $8$ from $8$ .

$49 - 6 + 2 \cdot 0$

Step 1.5

Multiply $2$ by $0$ .

$49 - 6 + 0$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Subtract $6$ from $49$ .

$43 + 0$

Step 2.2

Add $43$ and $0$ .

$43$