What is factor 64v^4-225w^{10} ?

The solution to factor 64v^4-225w^{10} is (8v^2+15w^5)(8v^2-15w^5)

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factor 64v^4-225w^{10}

factor

64 v^{4} - 225 w^{10}

(8 v^{2} + 15 w^{5}) (8 v^{2} - 15 w^{5})

Solution steps

64 v^{4} - 225 w^{10}

64 v^{4} = (8 v^{2})^{2}

225 w^{10} = (15 w^{5})^{2}

= (8 v^{2})^{2} - (15 w^{5})^{2}

Apply Difference of Two Squares Formula:

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

(8 v^{2})^{2} - (15 w^{5})^{2} = (8 v^{2} + 15 w^{5}) (8 v^{2} - 15 w^{5})

= (8 v^{2} + 15 w^{5}) (8 v^{2} - 15 w^{5})

36 x^{2} y - 9 y

12 5^{\frac{- 3}{4}} \cdot 5^{\frac{- 3}{4}}

- 5 (x + 6) - 10 = 10

7 y + 14

81 - x^{2} = 0

What is factor 64v^4-225w^{10} ?
The solution to factor 64v^4-225w^{10} is (8v^2+15w^5)(8v^2-15w^5)