What is expand-(x^2(2x^6+7))/(196) ?

The solution to expand-(x^2(2x^6+7))/(196) is -(x^8)/(98)-(x^2)/(28)

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expand-(x^2(2x^6+7))/(196)

expand

- \frac{x ^{2} ( 2 x ^{6} + 7 )}{196}

- \frac{x ^{8}}{98} - \frac{x ^{2}}{28}

Solution steps

- \frac{x ^{2} ( 2 x ^{6} + 7 )}{196}

Expand

x^{2} (2 x^{6} + 7) : 2 x^{8} + 7 x^{2}

= - \frac{2 x ^{8} + 7 x ^{2}}{196}

Apply the fraction rule:

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

\frac{2 x ^{8} + 7 x ^{2}}{196} = - (\frac{2 x ^{8}}{196}) - (\frac{7 x ^{2}}{196})

= - (\frac{2 x ^{8}}{196}) - (\frac{7 x ^{2}}{196})

Remove parentheses:

(a) = a

= - \frac{2 x ^{8}}{196} - \frac{7 x ^{2}}{196}

Cancel

\frac{2 x ^{8}}{196} : \frac{x ^{8}}{98}

= - \frac{x ^{8}}{98} - \frac{7 x ^{2}}{196}

Cancel

\frac{7 x ^{2}}{196} : \frac{x ^{2}}{28}

= - \frac{x ^{8}}{98} - \frac{x ^{2}}{28}

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What is expand-(x^2(2x^6+7))/(196) ?
The solution to expand-(x^2(2x^6+7))/(196) is -(x^8)/(98)-(x^2)/(28)