Solve =-(x-l/4)^2+l^2/16

$$= - ( x - \frac { l } { 4 } ) ^ { 2 } + \frac { l ^ { 2 } } { 16 }$$

Evaluate

$$\frac{x\left(l-2x\right)}{2}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply x times \frac{4}{4}.

$$-\left(\frac{4x}{4}-\frac{l}{4}\right)^{2}+\frac{l^{2}}{16}$$

Since \frac{4x}{4} and \frac{l}{4} have the same denominator, subtract them by subtracting their numerators.

$$-\left(\frac{4x-l}{4}\right)^{2}+\frac{l^{2}}{16}$$

To raise \frac{4x-l}{4} to a power, raise both numerator and denominator to the power and then divide.

$$-\frac{\left(4x-l\right)^{2}}{4^{2}}+\frac{l^{2}}{16}$$

To add or subtract expressions, expand them to make their denominators the same. Expand 4^{2}.

$$-\frac{\left(4x-l\right)^{2}}{16}+\frac{l^{2}}{16}$$

Since -\frac{\left(4x-l\right)^{2}}{16} and \frac{l^{2}}{16} have the same denominator, add them by adding their numerators.

$$\frac{-\left(4x-l\right)^{2}+l^{2}}{16}$$

Do the multiplications in -\left(4x-l\right)^{2}+l^{2}.

$$\frac{-16x^{2}+8xl-l^{2}+l^{2}}{16}$$

Combine like terms in -16x^{2}+8xl-l^{2}+l^{2}.

$$\frac{-16x^{2}+8xl}{16}$$

Expand

$$\frac{lx}{2}-x^{2}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply x times \frac{4}{4}.

$$-\left(\frac{4x}{4}-\frac{l}{4}\right)^{2}+\frac{l^{2}}{16}$$

Since \frac{4x}{4} and \frac{l}{4} have the same denominator, subtract them by subtracting their numerators.

$$-\left(\frac{4x-l}{4}\right)^{2}+\frac{l^{2}}{16}$$

To raise \frac{4x-l}{4} to a power, raise both numerator and denominator to the power and then divide.

$$-\frac{\left(4x-l\right)^{2}}{4^{2}}+\frac{l^{2}}{16}$$

To add or subtract expressions, expand them to make their denominators the same. Expand 4^{2}.

$$-\frac{\left(4x-l\right)^{2}}{16}+\frac{l^{2}}{16}$$

Since -\frac{\left(4x-l\right)^{2}}{16} and \frac{l^{2}}{16} have the same denominator, add them by adding their numerators.

$$\frac{-\left(4x-l\right)^{2}+l^{2}}{16}$$

Do the multiplications in -\left(4x-l\right)^{2}+l^{2}.

$$\frac{-16x^{2}+8xl-l^{2}+l^{2}}{16}$$

Combine like terms in -16x^{2}+8xl-l^{2}+l^{2}.

$$\frac{-16x^{2}+8xl}{16}$$