What is sqrt(2x^5-4x^2+6x)(x^2-sqrt(x))^2 ?

The solution to sqrt(2x^5-4x^2+6x)(x^2-sqrt(x))^2 is (x^4-2x^2sqrt(x)+x)sqrt(2x^5-4x^2+6x)

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simplify sqrt(2x^5-4x^2+6x)(x^2-sqrt(x))^2

simplify

2 x^{5} - 4 x^{2} + 6 x (x^{2} - x)^{2}

(x^{4} - 2 x^{2} x + x) 2 x^{5} - 4 x^{2} + 6 x

Solution steps

2 x^{5} - 4 x^{2} + 6 x (x^{2} - x)^{2}

Apply Perfect Square Formula:

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

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

= 2 x^{5} - 4 x^{2} + 6 x ((x^{2})^{2} - 2 x^{2} x + (x)^{2})

Simplify

(x^{2})^{2} - 2 x^{2} x + (x)^{2} : x^{4} - 2 x^{2} x + x

= 2 x^{5} - 4 x^{2} + 6 x (x^{4} - 2 x^{2} x + x)

= (x^{4} - 2 x^{2} x + x) 2 x^{5} - 4 x^{2} + 6 x

3 (2 + 7)

(x - 5) (x + 5)

\frac{( 4 - x ^{2} ) ^{3}}{3}

(2, 14) y (- 1, - 7)

e^{(- 2 + 3 i) t}

What is sqrt(2x^5-4x^2+6x)(x^2-sqrt(x))^2 ?
The solution to sqrt(2x^5-4x^2+6x)(x^2-sqrt(x))^2 is (x^4-2x^2sqrt(x)+x)sqrt(2x^5-4x^2+6x)