What is factor x^2+x(-x/2)-(x/2)^2 ?

The solution to factor x^2+x(-x/2)-(x/2)^2 is (x^2)/4

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factor x^2+x(-x/2)-(x/2)^2

factor

x^{2} + x (- \frac{x}{2}) - (\frac{x}{2})^{2}

\frac{x ^{2}}{4}

Solution steps

x^{2} + x (- \frac{x}{2}) - (\frac{x}{2})^{2}

Remove parentheses:

(- a) = - a

= x^{2} - x \frac{x}{2} - (\frac{x}{2})^{2}

x \frac{x}{2} = \frac{x ^{2}}{2}

(\frac{x}{2})^{2} = \frac{x ^{2}}{2 ^{2}}

= x^{2} - \frac{x ^{2}}{2} - \frac{x ^{2}}{2 ^{2}}

Convert element to fraction:

x^{2} = \frac{x ^{2}}{1}

= - \frac{x ^{2}}{2} - \frac{x ^{2}}{2 ^{2}} + \frac{x ^{2}}{1}

2^{2} = 4

= - \frac{x ^{2}}{2} - \frac{x ^{2}}{4} + \frac{x ^{2}}{1}

Least Common Multiplier of

2, 4, 1 : 4

Adjust Fractions based on the LCM

= - \frac{x ^{2} \cdot 2}{4} - \frac{x ^{2}}{4} + \frac{x ^{2} \cdot 4}{4}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{- x ^{2} \cdot 2 - x ^{2} + x ^{2} \cdot 4}{4}

Add similar elements:

- 2 x^{2} - x^{2} + 4 x^{2} = x^{2}

= \frac{x ^{2}}{4}

6 x y - 4 y

x^{2} - 7 x - 24 = 0

0 = x^{2} + 2 \cdot 29.1732477 \cdot 32

\frac{2 + 5 i}{3 i}

\frac{2}{3} - \frac{1}{2} x \geq \frac{1}{6} + x

What is factor x^2+x(-x/2)-(x/2)^2 ?
The solution to factor x^2+x(-x/2)-(x/2)^2 is (x^2)/4