What is factor 625m^8n^4-16p^8 ?

The solution to factor 625m^8n^4-16p^8 is (25m^4n^2+4p^4)(5m^2n+2p^2)(5m^2n-2p^2)

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factor 625m^8n^4-16p^8

factor

625 m^{8} n^{4} - 16 p^{8}

(25 m^{4} n^{2} + 4 p^{4}) (5 m^{2} n + 2 p^{2}) (5 m^{2} n - 2 p^{2})

Solution steps

625 m^{8} n^{4} - 16 p^{8}

625 m^{8} n^{4} = (25 m^{4} n^{2})^{2}

16 p^{8} = (4 p^{4})^{2}

= (25 m^{4} n^{2})^{2} - (4 p^{4})^{2}

Apply Difference of Two Squares Formula:

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

(25 m^{4} n^{2})^{2} - (4 p^{4})^{2} = (25 m^{4} n^{2} + 4 p^{4}) (25 m^{4} n^{2} - 4 p^{4})

= (25 m^{4} n^{2} + 4 p^{4}) (25 m^{4} n^{2} - 4 p^{4})

Factor

25 m^{4} n^{2} - 4 p^{4} : (5 m^{2} n + 2 p^{2}) (5 m^{2} n - 2 p^{2})

= (25 m^{4} n^{2} + 4 p^{4}) (5 m^{2} n + 2 p^{2}) (5 m^{2} n - 2 p^{2})

74.87 = \frac{1}{2} \cdot \frac{10}{32.2} \cdot x^{2} + 8.407

2 (p + 1) > 7 + p

- 13 x^{2} - x + 6 = 0

3 - 11 x = - 118

∣ x + 7 ∣ = 12

What is factor 625m^8n^4-16p^8 ?
The solution to factor 625m^8n^4-16p^8 is (25m^4n^2+4p^4)(5m^2n+2p^2)(5m^2n-2p^2)