Basic Math Examples

$m^{2} (m^{2} - 4) = 3 m^{2} - 2$

Step 1

Simplify $m^{2} (m^{2} - 4)$ .

Tap for more steps...

Step 1.1

Apply the distributive property.

$m^{2} m^{2} + m^{2} \cdot - 4 = 3 m^{2} - 2$

Step 1.2

Multiply $m^{2}$ by $m^{2}$ by adding the exponents.

Tap for more steps...

Step 1.2.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$m^{2 + 2} + m^{2} \cdot - 4 = 3 m^{2} - 2$

Step 1.2.2

Add $2$ and $2$ .

$m^{4} + m^{2} \cdot - 4 = 3 m^{2} - 2$

Step 1.3

Move $- 4$ to the left of $m^{2}$ .

$m^{4} - 4 m^{2} = 3 m^{2} - 2$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$m \approx - 2.58873755, - 0.54629468, 0.54629468, 2.58873755$

Step 3