Finite Math Examples

$(1.4 x^{3} + 4.8 x^{2} - 3.8 x) - 0.81 (9 x^{3} - 7 x^{2} + 6)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$1.4 x^{3} + 4.8 x^{2} - 3.8 x - 0.81 (9 x^{3}) - 0.81 (- 7 x^{2}) - 0.81 \cdot 6$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $9$ by $- 0.81$ .

$1.4 x^{3} + 4.8 x^{2} - 3.8 x - 7.29 x^{3} - 0.81 (- 7 x^{2}) - 0.81 \cdot 6$

Step 1.2.2

Multiply $- 7$ by $- 0.81$ .

$1.4 x^{3} + 4.8 x^{2} - 3.8 x - 7.29 x^{3} + 5.67 x^{2} - 0.81 \cdot 6$

Step 1.2.3

Multiply $- 0.81$ by $6$ .

$1.4 x^{3} + 4.8 x^{2} - 3.8 x - 7.29 x^{3} + 5.67 x^{2} - 4.86$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $7.29 x^{3}$ from $1.4 x^{3}$ .

$- 5.89 x^{3} + 4.8 x^{2} - 3.8 x + 5.67 x^{2} - 4.86$

Step 2.2

Add $4.8 x^{2}$ and $5.67 x^{2}$ .

$- 5.89 x^{3} + 10.47 x^{2} - 3.8 x - 4.86$