Solve 8m^2-12mm=

$$8 m ^ { 2 } - 12 m m =$$

Evaluate

$$-4m^{2}$$

Solution Steps

Multiply m and m to get m^{2}.

$$8m^{2}-12m^{2}$$

Combine 8m^{2} and -12m^{2} to get -4m^{2}.

$$-4m^{2}$$

Differentiate w.r.t. m

$$-8m$$

Steps Using Derivative Rule for Sum

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$2\times 8m^{2-1}+\left(-12m\right)m^{1-1}$$

Multiply 2 times 8.

$$16m^{2-1}+\left(-12m\right)m^{1-1}$$

Subtract 1 from 2.

$$16m^{1}+\left(-12m\right)m^{1-1}$$

Subtract 1 from 1.

$$16m^{1}+\left(-12m\right)m^{0}$$

For any term t, t^{1}=t.

$$16m+\left(-12m\right)m^{0}$$

For any term t except 0, t^{0}=1.

$$16m+\left(-12m\right)\times 1$$

For any term t, t\times 1=t and 1t=t.

$$16m-12m$$