What is expand-((7-x)^4)/4 ?

The solution to expand-((7-x)^4)/4 is -(x^4)/4+7x^3-(147x^2)/2+343x-2401/4

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expand-((7-x)^4)/4

expand

- \frac{( 7 - x ) ^{4}}{4}

- \frac{x ^{4}}{4} + 7 x^{3} - \frac{147 x ^{2}}{2} + 343 x - \frac{2401}{4}

Solution steps

- \frac{( 7 - x ) ^{4}}{4}

(7 - x)^{4} = 2401 - 1372 x + 294 x^{2} - 28 x^{3} + x^{4}

= - \frac{x ^{4} - 28 x ^{3} + 294 x ^{2} - 1372 x + 2401}{4}

Apply the fraction rule:

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

\frac{2401 - 1372 x + 294 x ^{2} - 28 x ^{3} + x ^{4}}{4} = - (\frac{2401}{4}) - (- \frac{1372 x}{4}) - (\frac{294 x ^{2}}{4}) - (- \frac{28 x ^{3}}{4}) - (\frac{x ^{4}}{4})

= - (\frac{2401}{4}) - (- \frac{1372 x}{4}) - (\frac{294 x ^{2}}{4}) - (- \frac{28 x ^{3}}{4}) - (\frac{x ^{4}}{4})

Remove parentheses:

(a) = a, - (- a) = a

= - \frac{2401}{4} + \frac{1372 x}{4} - \frac{294 x ^{2}}{4} + \frac{28 x ^{3}}{4} - \frac{x ^{4}}{4}

Divide the numbers:

\frac{1372}{4} = 343

= - \frac{2401}{4} + 343 x - \frac{294 x ^{2}}{4} + \frac{28 x ^{3}}{4} - \frac{x ^{4}}{4}

Cancel

\frac{294 x ^{2}}{4} : \frac{147 x ^{2}}{2}

= - \frac{2401}{4} + 343 x - \frac{147 x ^{2}}{2} + \frac{28 x ^{3}}{4} - \frac{x ^{4}}{4}

Divide the numbers:

\frac{28}{4} = 7

= - \frac{2401}{4} + 343 x - \frac{147 x ^{2}}{2} + 7 x^{3} - \frac{x ^{4}}{4}

Rewrite in standard form

= - \frac{x ^{4}}{4} + 7 x^{3} - \frac{147 x ^{2}}{2} + 343 x - \frac{2401}{4}

C (- 4, - 2) C (- 4, - 2)

x (u^{''} (x) ln (x) + 2 u^{'} (x) + H (- \frac{1}{x ^{2}}))

3 x (x y - 2) d x

(e^{t} + e^{- t})^{2} t

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

What is expand-((7-x)^4)/4 ?
The solution to expand-((7-x)^4)/4 is -(x^4)/4+7x^3-(147x^2)/2+343x-2401/4