What is expand ((-9x^2+13)^2)/(81) ?

The solution to expand ((-9x^2+13)^2)/(81) is x^4-(26x^2)/9+169/81

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expand ((-9x^2+13)^2)/(81)

expand

\frac{( - 9 x ^{2} + 13 ) ^{2}}{81}

x^{4} - \frac{26 x ^{2}}{9} + \frac{169}{81}

Solution steps

\frac{( - 9 x ^{2} + 13 ) ^{2}}{81}

(- 9 x^{2} + 13)^{2} = 81 x^{4} - 234 x^{2} + 169

= \frac{81 x ^{4} - 234 x ^{2} + 169}{81}

Apply the fraction rule:

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

\frac{81 x ^{4} - 234 x ^{2} + 169}{81} = \frac{81 x ^{4}}{81} - \frac{234 x ^{2}}{81} + \frac{169}{81}

= \frac{81 x ^{4}}{81} - \frac{234 x ^{2}}{81} + \frac{169}{81}

Divide the numbers:

\frac{81}{81} = 1

= x^{4} - \frac{234 x ^{2}}{81} + \frac{169}{81}

Cancel

\frac{234 x ^{2}}{81} : \frac{26 x ^{2}}{9}

= x^{4} - \frac{26 x ^{2}}{9} + \frac{169}{81}

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What is expand ((-9x^2+13)^2)/(81) ?
The solution to expand ((-9x^2+13)^2)/(81) is x^4-(26x^2)/9+169/81