What is factor 2pix^3+20pix^2+50pix ?

The solution to factor 2pix^3+20pix^2+50pix is 2pix(x+5)^2

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factor 2pix^3+20pix^2+50pix

factor

2 π x^{3} + 20 π x^{2} + 50 π x

2 π x (x + 5)^{2}

Solution steps

2 π x^{3} + 20 π x^{2} + 50 π x

Apply exponent rule:

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

x^{2} = xx

= 2 π x^{2} x + 20 π xx + 50 π x

Factor out common term

x

= x (2 π x^{2} + 20 π x + 50 π)

Factor

2 π x^{2} + 20 π x + 50 π : 2 π (x + 5)^{2}

= 2 π x (x + 5)^{2}

4 ∣ 1 - 2 x ∣ - 8 = 28

- 16 t^{2} + 100 t + 85 = 0

7160 + 340

x (x^{\frac{1}{2}})

(7 - 5) (3 + 25)

What is factor 2pix^3+20pix^2+50pix ?
The solution to factor 2pix^3+20pix^2+50pix is 2pix(x+5)^2