What is ((13b^2-9b^6+7b^4))/(b^4) ?

The solution to ((13b^2-9b^6+7b^4))/(b^4) is (13-9b^4+7b^2)/(b^2)

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simplify ((13b^2-9b^6+7b^4))/(b^4)

simplify

\frac{( 13 b ^{2} - 9 b ^{6} + 7 b ^{4} )}{b ^{4}}

\frac{13 - 9 b ^{4} + 7 b ^{2}}{b ^{2}}

Solution steps

\frac{13 b ^{2} - 9 b ^{6} + 7 b ^{4}}{b ^{4}}

Factor

13 b^{2} - 9 b^{6} + 7 b^{4} : b^{2} (13 - 9 b^{4} + 7 b^{2})

= \frac{b ^{2} ( 13 - 9 b ^{4} + 7 b ^{2} )}{b ^{4}}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

b^{4} = b^{2} b^{2}

= \frac{b ^{2} ( 13 - 9 b ^{4} + 7 b ^{2} )}{b ^{2} b ^{2}}

Cancel the common factor:

b^{2}

= \frac{13 - 9 b ^{4} + 7 b ^{2}}{b ^{2}}

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55 x^{2} - 61 x y - 6 y^{2}

(6 x + 5 y)^{3}

\frac{1 + 1}{x ^{2}}

What is ((13b^2-9b^6+7b^4))/(b^4) ?
The solution to ((13b^2-9b^6+7b^4))/(b^4) is (13-9b^4+7b^2)/(b^2)