What is factor 6.25m^8-0.49n^6 ?

The solution to factor 6.25m^8-0.49n^6 is (2.5m^4+0.7n^3)(2.5m^4-0.7n^3)

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factor 6.25m^8-0.49n^6

factor

6.25 m^{8} - 0.49 n^{6}

(2.5 m^{4} + 0.7 n^{3}) (2.5 m^{4} - 0.7 n^{3})

Solution steps

6.25 m^{8} - 0.49 n^{6}

Rewrite

6.25 m^{8} - 0.49 n^{6}

(6.25 m^{4})^{2} - (0.49 n^{3})^{2}

= (6.25 m^{4})^{2} - (0.49 n^{3})^{2}

Apply Difference of Two Squares Formula:

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

(6.25 m^{4})^{2} - (0.49 n^{3})^{2} = (6.25 m^{4} + 0.49 n^{3}) (6.25 m^{4} - 0.49 n^{3})

= (6.25 m^{4} + 0.49 n^{3}) (6.25 m^{4} - 0.49 n^{3})

6.25 = 2.5

= (2.5 m^{4} + 0.49 n^{3}) (6.25 m^{4} - 0.49 n^{3})

0.49 = 0.7

= (2.5 m^{4} + 0.7 n^{3}) (6.25 m^{4} - 0.49 n^{3})

6.25 = 2.5

= (2.5 m^{4} + 0.7 n^{3}) (2.5 m^{4} - 0.49 n^{3})

0.49 = 0.7

= (2.5 m^{4} + 0.7 n^{3}) (2.5 m^{4} - 0.7 n^{3})

\frac{- 27}{7}

x 49 a 4 b 4 - 16 c

\frac{( 1 - r ^{3} )}{1 - r}

\frac{36}{25} x^{2} - 3

What is factor 6.25m^8-0.49n^6 ?
The solution to factor 6.25m^8-0.49n^6 is (2.5m^4+0.7n^3)(2.5m^4-0.7n^3)