What is factor 81x^5y^2-49xy^4 ?

The solution to factor 81x^5y^2-49xy^4 is xy^2(9x^2+7y)(9x^2-7y)

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factor 81x^5y^2-49xy^4

factor

81 x^{5} y^{2} - 49 x y^{4}

x y^{2} (9 x^{2} + 7 y) (9 x^{2} - 7 y)

Solution steps

81 x^{5} y^{2} - 49 x y^{4}

Factor out common term

x y^{2} : x y^{2} (81 x^{4} - 49 y^{2})

= x y^{2} (81 x^{4} - 49 y^{2})

Factor

81 x^{4} - 49 y^{2} : (9 x^{2} + 7 y) (9 x^{2} - 7 y)

= x y^{2} (9 x^{2} + 7 y) (9 x^{2} - 7 y)

\frac{52}{16}

\frac{6}{y + 8} - \frac{3 y}{y ^{2} + 11 x + 24}

17 \times 17

\frac{52}{91}

(x^{2} - 4) (x^{2} - 1)

What is factor 81x^5y^2-49xy^4 ?
The solution to factor 81x^5y^2-49xy^4 is xy^2(9x^2+7y)(9x^2-7y)