What is factor 16x^4-25y^6 ?

The solution to factor 16x^4-25y^6 is (4x^2+5y^3)(4x^2-5y^3)

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factor 16x^4-25y^6

factor

16 x^{4} - 25 y^{6}

(4 x^{2} + 5 y^{3}) (4 x^{2} - 5 y^{3})

Solution steps

16 x^{4} - 25 y^{6}

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

25 y^{6} = (5 y^{3})^{2}

= (4 x^{2})^{2} - (5 y^{3})^{2}

Apply Difference of Two Squares Formula:

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

(4 x^{2})^{2} - (5 y^{3})^{2} = (4 x^{2} + 5 y^{3}) (4 x^{2} - 5 y^{3})

= (4 x^{2} + 5 y^{3}) (4 x^{2} - 5 y^{3})

tan^{2} (a) - sin^{2} (a) tan^{2} (a)

(x^{7})^{11}

(1 - 3 x)^{5}

(\frac{2 x - 1}{3 x})^{2}

x \cdot x + 4 x - 12 x - 27

What is factor 16x^4-25y^6 ?
The solution to factor 16x^4-25y^6 is (4x^2+5y^3)(4x^2-5y^3)