What is factor 25x^4y^2-64w^{10}z^{14} ?

The solution to factor 25x^4y^2-64w^{10}z^{14} is (5x^2y+8w^5z^7)(5x^2y-8w^5z^7)

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factor 25x^4y^2-64w^{10}z^{14}

factor

25 x^{4} y^{2} - 64 w^{10} z^{14}

(5 x^{2} y + 8 w^{5} z^{7}) (5 x^{2} y - 8 w^{5} z^{7})

Solution steps

25 x^{4} y^{2} - 64 w^{10} z^{14}

25 x^{4} y^{2} = (5 x^{2} y)^{2}

64 w^{10} z^{14} = (8 w^{5} z^{7})^{2}

= (5 x^{2} y)^{2} - (8 w^{5} z^{7})^{2}

Apply Difference of Two Squares Formula:

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

(5 x^{2} y)^{2} - (8 w^{5} z^{7})^{2} = (5 x^{2} y + 8 w^{5} z^{7}) (5 x^{2} y - 8 w^{5} z^{7})

= (5 x^{2} y + 8 w^{5} z^{7}) (5 x^{2} y - 8 w^{5} z^{7})

\frac{8}{7} - \frac{3}{8}

- 5 x^{2} - 2 x + 7

- 63 + 11

\frac{( - 6 )}{3 + 4}

What is factor 25x^4y^2-64w^{10}z^{14} ?
The solution to factor 25x^4y^2-64w^{10}z^{14} is (5x^2y+8w^5z^7)(5x^2y-8w^5z^7)