What is factor 108x^7*y^4-4000x^4*y^7 ?

The solution to factor 108x^7*y^4-4000x^4*y^7 is 4x^4y^4(3x-10y)(9x^2+30xy+100y^2)

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factor 108x^7y^4-4000x^4y^7

factor

108 x^{7} \cdot y^{4} - 4000 x^{4} \cdot y^{7}

4 x^{4} y^{4} (3 x - 10 y) (9 x^{2} + 30 x y + 100 y^{2})

Solution steps

108 x^{7} y^{4} - 4000 x^{4} y^{7}

Factor out common term

4 x^{4} y^{4} : 4 x^{4} y^{4} (27 x^{3} - 1000 y^{3})

= 4 x^{4} y^{4} (27 x^{3} - 1000 y^{3})

Factor

27 x^{3} - 1000 y^{3} : (3 x - 10 y) (9 x^{2} + 30 x y + 100 y^{2})

= 4 x^{4} y^{4} (3 x - 10 y) (9 x^{2} + 30 x y + 100 y^{2})

(- 2 y^{2})^{3}

2 + 2 cos^{4} (x)

(h^{7})^{- 2}

\frac{- 1 m}{s ^{2} - 15}

2 x^{3} - 2 x^{2} + 8 x

What is factor 108x^7*y^4-4000x^4*y^7 ?
The solution to factor 108x^7*y^4-4000x^4*y^7 is 4x^4y^4(3x-10y)(9x^2+30xy+100y^2)