What is factor 81x^4-256y^4 ?

The solution to factor 81x^4-256y^4 is (9x^2+16y^2)(3x+4y)(3x-4y)

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factor 81x^4-256y^4

factor

81 x^{4} - 256 y^{4}

(9 x^{2} + 16 y^{2}) (3 x + 4 y) (3 x - 4 y)

Solution steps

81 x^{4} - 256 y^{4}

81 x^{4} = (9 x^{2})^{2}

256 y^{4} = (16 y^{2})^{2}

= (9 x^{2})^{2} - (16 y^{2})^{2}

Apply Difference of Two Squares Formula:

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

(9 x^{2})^{2} - (16 y^{2})^{2} = (9 x^{2} + 16 y^{2}) (9 x^{2} - 16 y^{2})

= (9 x^{2} + 16 y^{2}) (9 x^{2} - 16 y^{2})

Factor

9 x^{2} - 16 y^{2} : (3 x + 4 y) (3 x - 4 y)

= (9 x^{2} + 16 y^{2}) (3 x + 4 y) (3 x - 4 y)

x^{- 2} \cdot (x + x^{7})

\frac{( x + 3 )}{( 15 - x ^{2} - 64 )}

(3 y + 2 y)^{2}

25 x^{4} - 10 4^{2} + 16

(\frac{( 2 a ^{2} )}{( 3 b ^{2} )})^{- 2}

What is factor 81x^4-256y^4 ?
The solution to factor 81x^4-256y^4 is (9x^2+16y^2)(3x+4y)(3x-4y)