Algebra Examples

$(- 7 d^{3} - 5 d^{3} f^{3} - 3 f^{3}) - (8 d^{3} + 4 d^{3} f^{3} + 2 f^{3})$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 7 d^{3} - 5 d^{3} f^{3} - 3 f^{3} - (8 d^{3}) - (4 d^{3} f^{3}) - (2 f^{3})$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $8$ by $- 1$ .

$- 7 d^{3} - 5 d^{3} f^{3} - 3 f^{3} - 8 d^{3} - (4 d^{3} f^{3}) - (2 f^{3})$

Step 1.2.2

Multiply $4$ by $- 1$ .

$- 7 d^{3} - 5 d^{3} f^{3} - 3 f^{3} - 8 d^{3} - 4 (d^{3} f^{3}) - (2 f^{3})$

Step 1.2.3

Multiply $2$ by $- 1$ .

$- 7 d^{3} - 5 d^{3} f^{3} - 3 f^{3} - 8 d^{3} - 4 (d^{3} f^{3}) - 2 f^{3}$

$- 7 d^{3} - 5 d^{3} f^{3} - 3 f^{3} - 8 d^{3} - 4 d^{3} f^{3} - 2 f^{3}$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $8 d^{3}$ from $- 7 d^{3}$ .

$- 15 d^{3} - 5 d^{3} f^{3} - 3 f^{3} - 4 d^{3} f^{3} - 2 f^{3}$

Step 2.2

Subtract $4 d^{3} f^{3}$ from $- 5 d^{3} f^{3}$ .

$- 15 d^{3} - 3 f^{3} - 9 d^{3} f^{3} - 2 f^{3}$

Step 2.3

Subtract $2 f^{3}$ from $- 3 f^{3}$ .

$- 15 d^{3} - 5 f^{3} - 9 d^{3} f^{3}$