What is factor 16m^8-64m^5n-64m^2n^2 ?

The solution to factor 16m^8-64m^5n-64m^2n^2 is 16m^2(m^6-4m^3n-4n^2)

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factor 16m^8-64m^5n-64m^2n^2

factor

16 m^{8} - 64 m^{5} n - 64 m^{2} n^{2}

16 m^{2} (m^{6} - 4 m^{3} n - 4 n^{2})

Solution steps

16 m^{8} - 64 m^{5} n - 64 m^{2} n^{2}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

m^{8} = m^{2} m^{6}, m^{5} n = m^{2} m^{3}

= 16 m^{2} m^{6} - 64 m^{2} m^{3} - 64 m^{2} n^{2}

Rewrite

- 64

4 \cdot 16

Rewrite

- 64

4 \cdot 16

= 16 m^{2} m^{6} + 4 \cdot 16 m^{2} m^{3} + 4 \cdot 16 m^{2} n^{2}

Factor out common term

16 m^{2}

= 16 m^{2} (m^{6} - 4 m^{3} n - 4 n^{2})

(x + x)^{3}

(n - 1)^{4}

x^{2} a^{4} - x^{4} a^{12}

\frac{4.41}{( 3.5 + 2.8 ) + 24.5 r}

- 39 x + 36 y - 12

What is factor 16m^8-64m^5n-64m^2n^2 ?
The solution to factor 16m^8-64m^5n-64m^2n^2 is 16m^2(m^6-4m^3n-4n^2)