What is factor 2x^7*y-54x^4*y^4 ?

The solution to factor 2x^7*y-54x^4*y^4 is 2x^4y(x-3y)(x^2+3xy+9y^2)

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factor 2x^7y-54x^4y^4

factor

2 x^{7} \cdot y - 54 x^{4} \cdot y^{4}

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

Solution steps

2 x^{7} y - 54 x^{4} y^{4}

Factor out common term

2 x^{4} y : 2 x^{4} y (x^{3} - 27 y^{3})

= 2 x^{4} y (x^{3} - 27 y^{3})

Factor

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

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

\frac{( 4 ^{x} \cdot 1 6 ^{x + 1} )}{( 4 ^{x - 1} \cdot 1 6 ^{x - 1} )}

3 q (3 q^{1}) (3 q - 1)

x^{3} + y^{3} + 2 x + 2 y

\frac{2}{7} x (- \frac{3}{4}) + \frac{5}{4} \cdot \frac{2}{10} - \frac{3}{4} x - \frac{1}{2}

\frac{2 cot ^{n} ( x - y )}{2}

What is factor 2x^7*y-54x^4*y^4 ?
The solution to factor 2x^7*y-54x^4*y^4 is 2x^4y(x-3y)(x^2+3xy+9y^2)