Solve q^3-q^2-03q+0027

$$q ^ { 3 } - q ^ { 2 } - 03 q + 0027$$

Evaluate

$$\left(q-1\right)q^{2}$$

Solution Steps

Multiply 0 and 3 to get 0.

$$q^{3}-q^{2}-0q+0\times 0\times 27$$

Anything times zero gives zero.

$$q^{3}-q^{2}-0+0\times 0\times 27$$

Multiply 0 and 0 to get 0.

$$q^{3}-q^{2}-0+0\times 27$$

Multiply 0 and 27 to get 0.

$$q^{3}-q^{2}-0+0$$

Anything plus zero gives itself.

$$q^{3}-q^{2}-0$$

Multiply -1 and 0 to get 0.

$$q^{3}-q^{2}+0$$

Anything plus zero gives itself.

$$q^{3}-q^{2}$$

Factor

$$\left(q-1\right)q^{2}$$

Solution Steps

Multiply and combine like terms.

$$q^{3}-q^{2}$$

Factor out q^{2}.

$$q^{2}\left(q-1\right)$$