What is expand ((-x+6)^2)/6 ?

The solution to expand ((-x+6)^2)/6 is (x^2)/6-2x+6

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expand ((-x+6)^2)/6

expand

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

\frac{x ^{2}}{6} - 2 x + 6

Solution steps

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

(- x + 6)^{2} = x^{2} - 12 x + 36

= \frac{x ^{2} - 12 x + 36}{6}

Apply the fraction rule:

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

\frac{x ^{2} - 12 x + 36}{6} = \frac{x ^{2}}{6} - \frac{12 x}{6} + \frac{36}{6}

= \frac{x ^{2}}{6} - \frac{12 x}{6} + \frac{36}{6}

Divide the numbers:

\frac{12}{6} = 2

= \frac{x ^{2}}{6} - 2 x + \frac{36}{6}

Divide the numbers:

\frac{36}{6} = 6

= \frac{x ^{2}}{6} - 2 x + 6

y^{\frac{5}{9}} (y^{\frac{1}{3}} - 4 y^{\frac{2}{9}})

x \cdot (csc (x) + cot (x)) - cos (x)

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

D x [(1 + x^{2}) (1 + 2 x^{2})]

What is expand ((-x+6)^2)/6 ?
The solution to expand ((-x+6)^2)/6 is (x^2)/6-2x+6