Basic Math Examples

$(2 a^{6} - 7 a^{5} \cdot 11) - (4 a^{5} + 5 a^{6} + 7)$

Step 1

Simplify each term.

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Step 1.1

Multiply $11$ by $- 7$ .

$2 a^{6} - 77 a^{5} - (4 a^{5} + 5 a^{6} + 7)$

Step 1.2

Apply the distributive property.

$2 a^{6} - 77 a^{5} - (4 a^{5}) - (5 a^{6}) - 1 \cdot 7$

Step 1.3

Simplify.

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Step 1.3.1

Multiply $4$ by $- 1$ .

$2 a^{6} - 77 a^{5} - 4 a^{5} - (5 a^{6}) - 1 \cdot 7$

Step 1.3.2

Multiply $5$ by $- 1$ .

$2 a^{6} - 77 a^{5} - 4 a^{5} - 5 a^{6} - 1 \cdot 7$

Step 1.3.3

Multiply $- 1$ by $7$ .

$2 a^{6} - 77 a^{5} - 4 a^{5} - 5 a^{6} - 7$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $5 a^{6}$ from $2 a^{6}$ .

$- 3 a^{6} - 77 a^{5} - 4 a^{5} - 7$

Step 2.2

Subtract $4 a^{5}$ from $- 77 a^{5}$ .

$- 3 a^{6} - 81 a^{5} - 7$