What is factor 4x^6-2x^3+0.25 ?

The solution to factor 4x^6-2x^3+0.25 is (2x^3-0.5)^2

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factor 4x^6-2x^3+0.25

factor

4 x^{6} - 2 x^{3} + 0.25

(2 x^{3} - 0.5)^{2}

Solution steps

4 x^{6} - 2 x^{3} + 0.25

Rewrite

4 x^{6}

(2 x^{3})^{2}

= (2 x^{3})^{2} - 2 x^{3} + 0.25

Rewrite

(2 x^{3})^{2} - 2 x^{3} + 0.25

(2 x^{3})^{2} - 22 x^{3} \cdot 0.5 + (0.25)^{2}

= (2 x^{3})^{2} - 22 x^{3} \cdot 0.5 + (0.25)^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

a = 2 x^{3}, b = 0.5

= (2 x^{3} - 0.5)^{2}

(2 a - b)^{3} - (3 b - a)^{3}

e^{5 x} \cdot (6 t \cdot sin (6 x))

arccsc (x^{2} - 1)

\frac{d}{d x} (2 x + 2 y y^{^{'}} (x))

x^{2} - 5 + 4

What is factor 4x^6-2x^3+0.25 ?
The solution to factor 4x^6-2x^3+0.25 is (2x^3-0.5)^2