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

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

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factor 256x^4-81y^4

factor

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

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

Solution steps

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

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

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

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

Apply Difference of Two Squares Formula:

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

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

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

Factor

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

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

- x^{2} + 17 x + 30 = 30

\frac{3 i ^{2} + 3 i}{4 i}

(x + 1) (x - 2) (x + 3) (x + 4)

\frac{( a ^{\frac{5}{3}} )}{y ^{4} x ^{2}}

x^{2} + 4 x = 6

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