What is factor 4x^2(x-3)^3-6x(x-3)^2+4(x-3) ?

The solution to factor 4x^2(x-3)^3-6x(x-3)^2+4(x-3) is 2(x-3)(2x^4-12x^3+15x^2+9x+2)

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factor 4x^2(x-3)^3-6x(x-3)^2+4(x-3)

factor

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

2 (x - 3) (2 x^{4} - 12 x^{3} + 15 x^{2} + 9 x + 2)

Solution steps

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

Factor out common term

2 (x - 3) : 2 (x - 3) (2 x^{2} (x - 3)^{2} - 3 x (x - 3) + 2)

= 2 (x - 3) (2 x^{2} (x - 3)^{2} - 3 x (x - 3) + 2)

Expand

2 x^{2} (x - 3)^{2} - 3 x (x - 3) + 2 : 2 x^{4} - 12 x^{3} + 15 x^{2} + 9 x + 2

= 2 (x - 3) (2 x^{4} - 12 x^{3} + 15 x^{2} + 9 x + 2)

- x^{2} - 8 x + 20

25 p^{2} - 16 = 0

r^{2} + 4 r + 5 = 0

4 x^{2} + 12 x = 8 x - 4

x (x + 4) = 117

What is factor 4x^2(x-3)^3-6x(x-3)^2+4(x-3) ?
The solution to factor 4x^2(x-3)^3-6x(x-3)^2+4(x-3) is 2(x-3)(2x^4-12x^3+15x^2+9x+2)