Solve m^2-10m+100-0

$$m ^ { 2 } - 10 m + 100 - 0$$

Evaluate

$$m^{2}-10m+100$$

Solution Steps

Multiply -1 and 0 to get 0.

$$m^{2}-10m+100+0$$

Add 100 and 0 to get 100.

$$m^{2}-10m+100$$

Differentiate w.r.t. m

$$2\left(m-5\right)$$

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}.

$$2m^{2-1}-10m^{1-1}$$

Subtract 1 from 2.

$$2m^{1}-10m^{1-1}$$

Subtract 1 from 1.

$$2m^{1}-10m^{0}$$

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

$$2m-10m^{0}$$

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

$$2m-10$$