Solve 1/4am^2-1/16a^2m^2

$$\frac { 1 } { 4 } a m ^ { 2 } - \frac { 1 } { 16 } a ^ { 2 } m ^ { 2 }$$

Factor

$$\frac{a\left(4-a\right)m^{2}}{16}$$

Solution Steps

Factor out \frac{1}{16}.

$$\frac{4am^{2}-a^{2}m^{2}}{16}$$

Consider 4am^{2}-a^{2}m^{2}. Factor out am^{2}.

$$am^{2}\left(4-a\right)$$

Rewrite the complete factored expression.

$$\frac{am^{2}\left(-a+4\right)}{16}$$

Evaluate

$$\frac{a\left(4-a\right)m^{2}}{16}$$