What is expand ((-x+2)^2)/4 ?

The solution to expand ((-x+2)^2)/4 is (x^2)/4-x+1

Popular >

expand ((-x+2)^2)/4

expand

\frac{( - x + 2 ) ^{2}}{4}

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

Solution steps

\frac{( - x + 2 ) ^{2}}{4}

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

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

Apply the fraction rule:

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

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

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

Apply rule

\frac{a}{a} = 1

\frac{4}{4} = 1

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

Divide the numbers:

\frac{4}{4} = 1

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

\frac{x ^{3} + ( k - 3 ) x ^{2} + ( k + 4 ) x - 6 k}{( x - 3 )}

\frac{1}{( s + 1 ) ^{4}}

\frac{1}{2} (arcsin (x) + \frac{π}{2} + \frac{1}{2} sin (2 arcsin (x)))

\frac{( x - 2 ) ( x + 5 )}{x ^{\frac{3}{2}}}

\frac{9 x + 6}{( x + 3 ) \cdot x \cdot ( x - 4 )}

What is expand ((-x+2)^2)/4 ?
The solution to expand ((-x+2)^2)/4 is (x^2)/4-x+1