What is factor-4x^4+16x^3-25x^2+15x-3 ?

The solution to factor-4x^4+16x^3-25x^2+15x-3 is -(2x-1)^2(x^2-3x+3)

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factor-4x^4+16x^3-25x^2+15x-3

factor

- 4 x^{4} + 16 x^{3} - 25 x^{2} + 15 x - 3

- (2 x - 1)^{2} (x^{2} - 3 x + 3)

Solution steps

- 4 x^{4} + 16 x^{3} - 25 x^{2} + 15 x - 3

Factor out

- 1 : - (4 x^{4} - 16 x^{3} + 25 x^{2} - 15 x + 3)

= - (4 x^{4} - 16 x^{3} + 25 x^{2} - 15 x + 3)

Factor

4 x^{4} - 16 x^{3} + 25 x^{2} - 15 x + 3 : (2 x - 1) (2 x - 1) (x^{2} - 3 x + 3)

= - (2 x - 1) (2 x - 1) (x^{2} - 3 x + 3)

Apply exponent rule:

aa = a^{2}

(2 x - 1) (2 x - 1) = (2 x - 1)^{2}

= - (2 x - 1)^{2} (x^{2} - 3 x + 3)

(x + \frac{1}{x}) (x - \frac{2}{x})

s^{2} + 8 s + 12

7 \cdot 28

\frac{7}{8} + \frac{2}{3}

(x y - 9)^{2}

What is factor-4x^4+16x^3-25x^2+15x-3 ?
The solution to factor-4x^4+16x^3-25x^2+15x-3 is -(2x-1)^2(x^2-3x+3)