What is factor 8x^5y^2-27x^2y^5 ?

The solution to factor 8x^5y^2-27x^2y^5 is x^2y^2(2x-3y)(4x^2+6xy+9y^2)

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factor 8x^5y^2-27x^2y^5

factor

8 x^{5} y^{2} - 27 x^{2} y^{5}

x^{2} y^{2} (2 x - 3 y) (4 x^{2} + 6 x y + 9 y^{2})

Solution steps

8 x^{5} y^{2} - 27 x^{2} y^{5}

Factor out common term

x^{2} y^{2} : x^{2} y^{2} (8 x^{3} - 27 y^{3})

= x^{2} y^{2} (8 x^{3} - 27 y^{3})

Factor

8 x^{3} - 27 y^{3} : (2 x - 3 y) (4 x^{2} + 6 x y + 9 y^{2})

= x^{2} y^{2} (2 x - 3 y) (4 x^{2} + 6 x y + 9 y^{2})

\frac{1}{4} (1 - \frac{2}{3})^{2} + \frac{1}{3}

(\frac{8 x ^{9} y ^{3}}{27 x ^{2} y ^{12}})^{\frac{2}{3}}

(x - 8)^{2} - 7 = 25

\frac{x}{3} = - 4

\frac{x}{3} = 2 x + 5

What is factor 8x^5y^2-27x^2y^5 ?
The solution to factor 8x^5y^2-27x^2y^5 is x^2y^2(2x-3y)(4x^2+6xy+9y^2)