Solve a*(-a)*(-a)

$$a \times ( - a ) \times ( - a )$$

Evaluate

$$a^{3}$$

Solution Steps

Multiply -a and -a to get \left(-a\right)^{2}.

$$a\left(-a\right)^{2}$$

Calculate -a to the power of 2 and get a^{2}.

$$aa^{2}$$

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$a^{3}$$

Differentiate w.r.t. a

$$3a^{2}$$

Steps Using Definition of a Derivative

Multiply -a and -a to get \left(-a\right)^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}a}(a\left(-a\right)^{2})$$

Calculate -a to the power of 2 and get a^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}a}(aa^{2})$$

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$\frac{\mathrm{d}}{\mathrm{d}a}(a^{3})$$

The derivative of ax^{n} is nax^{n-1}.

$$3a^{3-1}$$

Subtract 1 from 3.

$$3a^{2}$$