What is factor 16r^3+80r^2+100r ?

The solution to factor 16r^3+80r^2+100r is 4r(2r+5)^2

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factor 16r^3+80r^2+100r

factor

16 r^{3} + 80 r^{2} + 100 r

4 r (2 r + 5)^{2}

Solution steps

16 r^{3} + 80 r^{2} + 100 r

Factor out common term

4 r : 4 r (4 r^{2} + 20 r + 25)

= 4 r (4 r^{2} + 20 r + 25)

Factor

4 r^{2} + 20 r + 25 : (2 r + 5) (2 r + 5)

= 4 r (2 r + 5) (2 r + 5)

Apply exponent rule:

aa = a^{2}

(2 r + 5) (2 r + 5) = (2 r + 5)^{2}

= 4 r (2 r + 5)^{2}

x^{2} + 3 x - 187

- 2 x^{2} + 146 = - 34

2 x^{2} + 8 x + 912 = 0

x y

512 m^{3}

What is factor 16r^3+80r^2+100r ?
The solution to factor 16r^3+80r^2+100r is 4r(2r+5)^2