What is factor 10c^3-80c^5-5c^6+5c^7 ?

The solution to factor 10c^3-80c^5-5c^6+5c^7 is 5c^3(2-16c^2-c^3+c^4)

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factor 10c^3-80c^5-5c^6+5c^7

factor

10 c^{3} - 80 c^{5} - 5 c^{6} + 5 c^{7}

5 c^{3} (2 - 16 c^{2} - c^{3} + c^{4})

Solution steps

10 c^{3} - 80 c^{5} - 5 c^{6} + 5 c^{7}

Apply exponent rule:

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

c^{5} = c^{2} c^{3}

= 10 c^{3} - 80 c^{2} c^{3} - 5 c^{3} c^{3} + 5 c^{4} c^{3}

Rewrite

10

5 \cdot 2

Rewrite

80

5 \cdot 16

= 5 \cdot 2 c^{3} - 5 \cdot 16 c^{2} c^{3} - 5 c^{3} c^{3} + 5 c^{4} c^{3}

Factor out common term

5 c^{3}

= 5 c^{3} (2 - 16 c^{2} - c^{3} + c^{4})

(2 r - 5) (2 r - 5)

(- 6 x^{2} + x - 6) - (4 x^{2} - 6 x - 4)

7 - 212 + 3

(- 3 x^{2} + 3 x - 8) + (6 x^{2} - 4 x)

(- 4 x^{2} + 4 x) + (- 6 x^{2} - 8)

What is factor 10c^3-80c^5-5c^6+5c^7 ?
The solution to factor 10c^3-80c^5-5c^6+5c^7 is 5c^3(2-16c^2-c^3+c^4)