Finite Math Examples

$(2 x^{3} + 9 x - 8) - (4 x^{2} - 15 x + 7)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$2 x^{3} + 9 x - 8 - (4 x^{2}) - (- 15 x) - 1 \cdot 7$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $4$ by $- 1$ .

$2 x^{3} + 9 x - 8 - 4 x^{2} - (- 15 x) - 1 \cdot 7$

Step 1.2.2

Multiply $- 15$ by $- 1$ .

$2 x^{3} + 9 x - 8 - 4 x^{2} + 15 x - 1 \cdot 7$

Step 1.2.3

Multiply $- 1$ by $7$ .

$2 x^{3} + 9 x - 8 - 4 x^{2} + 15 x - 7$

Step 2

Simplify by adding terms.

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Step 2.1

Add $9 x$ and $15 x$ .

$2 x^{3} + 24 x - 8 - 4 x^{2} - 7$

Step 2.2

Simplify the expression.

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Step 2.2.1

Subtract $7$ from $- 8$ .

$2 x^{3} + 24 x - 4 x^{2} - 15$

Step 2.2.2

Move $24 x$ .

$2 x^{3} - 4 x^{2} + 24 x - 15$