Precalculus Examples

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

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

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

Step 1.2

Simplify.

Tap for more steps...

Step 1.2.1

Multiply $- 8.3$ by $- 1$ .

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

Step 1.2.2

Multiply $- 14.7$ by $- 1$ .

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

Step 1.2.3

Multiply $- 1$ by $- 17$ .

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

Step 2

Simplify by adding terms.

Tap for more steps...

Step 2.1

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

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

Step 2.2

Simplify the expression.

Tap for more steps...

Step 2.2.1

Add $- 6$ and $17$ .

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

Step 2.2.2

Reorder $29.7 x^{2}$ and $8.3 x^{3}$ .

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