Basic Math Examples

$(- 9 d + 5 d^{6} - 4 d^{3}) - (16 d^{3} + 9 d^{6} - 16 d)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 9 d + 5 d^{6} - 4 d^{3} - (16 d^{3}) - (9 d^{6}) - (- 16 d)$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $16$ by $- 1$ .

$- 9 d + 5 d^{6} - 4 d^{3} - 16 d^{3} - (9 d^{6}) - (- 16 d)$

Step 1.2.2

Multiply $9$ by $- 1$ .

$- 9 d + 5 d^{6} - 4 d^{3} - 16 d^{3} - 9 d^{6} - (- 16 d)$

Step 1.2.3

Multiply $- 16$ by $- 1$ .

$- 9 d + 5 d^{6} - 4 d^{3} - 16 d^{3} - 9 d^{6} + 16 d$

Step 2

Simplify by adding terms.

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Step 2.1

Add $- 9 d$ and $16 d$ .

$5 d^{6} - 4 d^{3} - 16 d^{3} - 9 d^{6} + 7 d$

Step 2.2

Subtract $9 d^{6}$ from $5 d^{6}$ .

$- 4 d^{6} - 4 d^{3} - 16 d^{3} + 7 d$

Step 2.3

Subtract $16 d^{3}$ from $- 4 d^{3}$ .

$- 4 d^{6} - 20 d^{3} + 7 d$