What is factor 4m^6+8m^8-16m^{10} ?

The solution to factor 4m^6+8m^8-16m^{10} is 4m^6(1+2m^2-4m^4)

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factor 4m^6+8m^8-16m^{10}

factor

4 m^{6} + 8 m^{8} - 16 m^{10}

4 m^{6} (1 + 2 m^{2} - 4 m^{4})

Solution steps

4 m^{6} + 8 m^{8} - 16 m^{10}

Apply exponent rule:

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

m^{8} = m^{2} m^{6}

= 4 m^{6} + 8 m^{2} m^{6} - 16 m^{4} m^{6}

Rewrite

4

4 \cdot 1

Rewrite

8

4 \cdot 2

= 4 \cdot 1 \cdot m^{6} + 4 \cdot 2 m^{2} m^{6} - 4 \cdot 4 m^{4} m^{6}

Factor out common term

4 m^{6}

= 4 m^{6} (1 + 2 m^{2} - 4 m^{4})

1680

\frac{20}{54}

\frac{5 x ^{2} + 30 x}{10 x ^{2} - 40 x}

16 \cdot (- 2)

\frac{- 49}{- 7}

What is factor 4m^6+8m^8-16m^{10} ?
The solution to factor 4m^6+8m^8-16m^{10} is 4m^6(1+2m^2-4m^4)