What is (1-x/2)(5+x)^6 ?

The solution to (1-x/2)(5+x)^6 is ((2-x)(5+x)^6)/2

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simplify (1-x/2)(5+x)^6

simplify

(1 - \frac{x}{2}) (5 + x)^{6}

\frac{( 2 - x ) ( 5 + x ) ^{6}}{2}

Solution steps

(1 - \frac{x}{2}) (5 + x)^{6}

Join

1 - \frac{x}{2} : \frac{2 - x}{2}

= \frac{2 - x}{2} (5 + x)^{6}

Apply the fraction rule:

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

= \frac{( 2 - x ) ( 5 + x ) ^{6}}{2}

(- a - b - c)^{2} + 4 ab c

(2 x d x - 4 x^{3}) d x - (2 y d y + x^{2}) d y

(x - 2) (x - \frac{1}{2}) (x + 4)

(csc (x) + 2) (- 2 csc (x) cot (x))

\frac{x}{5 ( x - 1 ) ^{3}}