Finite Math Examples

$(15 x^{2} - 6) - (- 8.3 x^{3} - 14.7 x^{2} - 17)$

Step 1

Apply the distributive property.

$15 x^{2} - 6 - (- 8.3 x^{3}) - (- 14.7 x^{2}) - - 17$

Step 2

Simplify.

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Step 2.1

Multiply $- 8.3$ by $- 1$ .

$15 x^{2} - 6 + 8.3 x^{3} - (- 14.7 x^{2}) - - 17$

Step 2.2

Multiply $- 14.7$ by $- 1$ .

$15 x^{2} - 6 + 8.3 x^{3} + 14.7 x^{2} - - 17$

Step 2.3

Multiply $- 1$ by $- 17$ .

$15 x^{2} - 6 + 8.3 x^{3} + 14.7 x^{2} + 17$

Step 3

Add $15 x^{2}$ and $14.7 x^{2}$ .

$29.7 x^{2} - 6 + 8.3 x^{3} + 17$

Step 4

Add $- 6$ and $17$ .

$29.7 x^{2} + 8.3 x^{3} + 11$

Step 5

Reorder terms.

$8.3 x^{3} + 29.7 x^{2} + 11$

Step 6

Factor $0.1$ out of $8.3 x^{3} + 29.7 x^{2} + 11$ .

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Step 6.1

Factor $0.1$ out of $8.3 x^{3}$ .

$0.1 (83 x^{3}) + 29.7 x^{2} + 11$

Step 6.2

Factor $0.1$ out of $29.7 x^{2}$ .

$0.1 (83 x^{3}) + 0.1 (297 x^{2}) + 11$

Step 6.3

Factor $0.1$ out of $11$ .

$0.1 (83 x^{3}) + 0.1 (297 x^{2}) + 0.1 (110)$

Step 6.4

Factor $0.1$ out of $0.1 (83 x^{3}) + 0.1 (297 x^{2})$ .

$0.1 (83 x^{3} + 297 x^{2}) + 0.1 (110)$

Step 6.5

Factor $0.1$ out of $0.1 (83 x^{3} + 297 x^{2}) + 0.1 (110)$ .

$0.1 (83 x^{3} + 297 x^{2} + 110)$