What is factor 5c+20c^2+20c^3 ?

The solution to factor 5c+20c^2+20c^3 is 5c(2c+1)^2

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factor 5c+20c^2+20c^3

factor

5 c + 20 c^{2} + 20 c^{3}

5 c (2 c + 1)^{2}

Solution steps

5 c + 20 c^{2} + 20 c^{3}

Write in the standard form

= 20 c^{3} + 20 c^{2} + 5 c

Factor out common term

5 c : 5 c (4 c^{2} + 4 c + 1)

= 5 c (4 c^{2} + 4 c + 1)

Factor

4 c^{2} + 4 c + 1 : (2 c + 1) (2 c + 1)

= 5 c (2 c + 1) (2 c + 1)

Apply exponent rule:

aa = a^{2}

(2 c + 1) (2 c + 1) = (2 c + 1)^{2}

= 5 c (2 c + 1)^{2}

\frac{π}{2} + \frac{π}{4}

\frac{1}{3}

2 = - 3 x

x - 1

x + 1 = x + 2

What is factor 5c+20c^2+20c^3 ?
The solution to factor 5c+20c^2+20c^3 is 5c(2c+1)^2