Trigonometry Examples

$4 (x^{3} + x^{2} - 6) - 3 (2 x^{2} - 3 x^{2})$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

$4 x^{3} + 4 x^{2} + 4 \cdot - 6 - 3 (2 x^{2} - 3 x^{2})$

Step 1.2

Multiply $4$ by $- 6$ .

$4 x^{3} + 4 x^{2} - 24 - 3 (2 x^{2} - 3 x^{2})$

Step 1.3

Subtract $3 x^{2}$ from $2 x^{2}$ .

$4 x^{3} + 4 x^{2} - 24 - 3 (- x^{2})$

Step 1.4

Multiply $- 1$ by $- 3$ .

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

Step 2

Add $4 x^{2}$ and $3 x^{2}$ .

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