Algebra Examples

$6 - (4 - 3 (4 - 2)) - (7 - 5 (4 - 2 (7 - 1)))$

Step 1

Simplify each term.

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Step 1.1

Simplify each term.

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Step 1.1.1

Subtract $2$ from $4$ .

$6 - (4 - 3 \cdot 2) - (7 - 5 (4 - 2 (7 - 1)))$

Step 1.1.2

Multiply $- 3$ by $2$ .

$6 - (4 - 6) - (7 - 5 (4 - 2 (7 - 1)))$

$6 - (4 - 6) - (7 - 5 (4 - 2 (7 - 1)))$

Step 1.2

Subtract $6$ from $4$ .

$6 - - 2 - (7 - 5 (4 - 2 (7 - 1)))$

Step 1.3

Multiply $- 1$ by $- 2$ .

$6 + 2 - (7 - 5 (4 - 2 (7 - 1)))$

Step 1.4

Simplify each term.

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Step 1.4.1

Simplify each term.

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Step 1.4.1.1

Subtract $1$ from $7$ .

$6 + 2 - (7 - 5 (4 - 2 \cdot 6))$

Step 1.4.1.2

Multiply $- 2$ by $6$ .

$6 + 2 - (7 - 5 (4 - 12))$

$6 + 2 - (7 - 5 (4 - 12))$

Step 1.4.2

Subtract $12$ from $4$ .

$6 + 2 - (7 - 5 \cdot - 8)$

Step 1.4.3

Multiply $- 5$ by $- 8$ .

$6 + 2 - (7 + 40)$

$6 + 2 - (7 + 40)$

Step 1.5

Add $7$ and $40$ .

$6 + 2 - 1 \cdot 47$

Step 1.6

Multiply $- 1$ by $47$ .

$6 + 2 - 47$

$6 + 2 - 47$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Add $6$ and $2$ .

$8 - 47$

Step 2.2

Subtract $47$ from $8$ .

$- 39$

$- 39$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$