Algebra Examples

$(4 x^{3} - 12 x^{2} - 5) - (- 8 x^{2} + 4 x + 3)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$4 x^{3} - 12 x^{2} - 5 - (- 8 x^{2}) - (4 x) - 1 \cdot 3$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 8$ by $- 1$ .

$4 x^{3} - 12 x^{2} - 5 + 8 x^{2} - (4 x) - 1 \cdot 3$

Step 1.2.2

Multiply $4$ by $- 1$ .

$4 x^{3} - 12 x^{2} - 5 + 8 x^{2} - 4 x - 1 \cdot 3$

Step 1.2.3

Multiply $- 1$ by $3$ .

$4 x^{3} - 12 x^{2} - 5 + 8 x^{2} - 4 x - 3$

Step 2

Simplify by adding terms.

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Step 2.1

Add $- 12 x^{2}$ and $8 x^{2}$ .

$4 x^{3} - 4 x^{2} - 5 - 4 x - 3$

Step 2.2

Subtract $3$ from $- 5$ .

$4 x^{3} - 4 x^{2} - 4 x - 8$