Simplify (6a^3+7a^2)-(5a^3+9a^2+a)

$(6 a^{3} + 7 a^{2}) - (5 a^{3} + 9 a^{2} + a)$

Step 1

Simplify each term.

Apply the distributive property.

$6 a^{3} + 7 a^{2} - (5 a^{3}) - (9 a^{2}) - a$

Simplify.

Multiply $5$ by $- 1$ .

$6 a^{3} + 7 a^{2} - 5 a^{3} - (9 a^{2}) - a$

Multiply $9$ by $- 1$ .

$6 a^{3} + 7 a^{2} - 5 a^{3} - 9 a^{2} - a$

$6 a^{3} + 7 a^{2} - 5 a^{3} - 9 a^{2} - a$

$6 a^{3} + 7 a^{2} - 5 a^{3} - 9 a^{2} - a$

Step 2

Simplify by adding terms.

Subtract $5 a^{3}$ from $6 a^{3}$ .

$a^{3} + 7 a^{2} - 9 a^{2} - a$

Subtract $9 a^{2}$ from $7 a^{2}$ .

$a^{3} - 2 a^{2} - a$

$a^{3} - 2 a^{2} - a$

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