What is factor 2p^8-12p^5+16p^2 ?

The solution to factor 2p^8-12p^5+16p^2 is 2p^2(p^6-6p^3+8)

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factor 2p^8-12p^5+16p^2

factor

2 p^{8} - 12 p^{5} + 16 p^{2}

2 p^{2} (p^{6} - 6 p^{3} + 8)

Solution steps

2 p^{8} - 12 p^{5} + 16 p^{2}

Apply exponent rule:

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

p^{5} = p^{3} p^{2}

= 2 p^{6} p^{2} - 12 p^{3} p^{2} + 16 p^{2}

Rewrite

12

2 \cdot 6

Rewrite

16

2 \cdot 8

= 2 p^{6} p^{2} - 2 \cdot 6 p^{3} p^{2} + 2 \cdot 8 p^{2}

Factor out common term

2 p^{2}

= 2 p^{2} (p^{6} - 6 p^{3} + 8)

\frac{- 4}{6}

\frac{x - 1}{4} < \frac{x - 2}{3} < \frac{x - 3}{4}

- 21 x^{2} + 2 x + 8

- (\frac{3}{4})^{4}

2 x^{2} + 5 x - 25

What is factor 2p^8-12p^5+16p^2 ?
The solution to factor 2p^8-12p^5+16p^2 is 2p^2(p^6-6p^3+8)