What is factor 200x^4-675xy^3 ?

The solution to factor 200x^4-675xy^3 is 25x(2x-3y)(4x^2+6xy+9y^2)

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factor 200x^4-675xy^3

factor

200 x^{4} - 675 x y^{3}

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

Solution steps

200 x^{4} - 675 x y^{3}

Factor out common term

25 x : 25 x (8 x^{3} - 27 y^{3})

= 25 x (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})

= 25 x (2 x - 3 y) (4 x^{2} + 6 x y + 9 y^{2})

(5 x^{- 2} \cdot y^{3})^{2}

(x - 3) + 2

\frac{( x + x - 6 )}{( x + 3 )}

(\frac{1 + 1}{x})^{x}

3 x^{2} - 2 6 x + 2

What is factor 200x^4-675xy^3 ?
The solution to factor 200x^4-675xy^3 is 25x(2x-3y)(4x^2+6xy+9y^2)