Simplify (a^3-2a^2)-(3a^2-4a^3)

$(a^{3} - 2 a^{2}) - (3 a^{2} - 4 a^{3})$

Step 1

Simplify each term.

Apply the distributive property.

$a^{3} - 2 a^{2} - (3 a^{2}) - (- 4 a^{3})$

Multiply $3$ by $- 1$ .

$a^{3} - 2 a^{2} - 3 a^{2} - (- 4 a^{3})$

Multiply $- 4$ by $- 1$ .

$a^{3} - 2 a^{2} - 3 a^{2} + 4 a^{3}$

$a^{3} - 2 a^{2} - 3 a^{2} + 4 a^{3}$

Step 2

Simplify by adding terms.

Add $a^{3}$ and $4 a^{3}$ .

$5 a^{3} - 2 a^{2} - 3 a^{2}$

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

$5 a^{3} - 5 a^{2}$

$5 a^{3} - 5 a^{2}$

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