What is sqrt(25x^2-100x*y^2+100y^4) ?

The solution to sqrt(25x^2-100x*y^2+100y^4) is 5(x-2y^2)

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simplify sqrt(25x^2-100x*y^2+100y^4)

simplify

25 x^{2} - 100 x \cdot y^{2} + 100 y^{4}

5 (x - 2 y^{2})

Solution steps

25 x^{2} - 100 x y^{2} + 100 y^{4}

Factor

25 x^{2} - 100 x y^{2} + 100 y^{4} : 25 (x^{2} - 4 x y^{2} + 4 y^{4})

= 25 (x^{2} - 4 x y^{2} + 4 y^{4})

Apply radical rule:

assuming

a \geq 0, b \geq 0

= 25 x^{2} - 4 x y^{2} + 4 y^{4}

25 = 5

= 5 x^{2} - 4 x y^{2} + 4 y^{4}

Factor

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

= 5 (x - 2 y^{2})^{2}

Apply radical rule:

assuming

a \geq 0

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

= 5 (x - 2 y^{2})

\frac{\frac{1}{10} v}{v}

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

\frac{( 4 b ^{2} \cdot 2 b ^{3} )}{( 8 b )}

\frac{( x ^{3} + 2 x ^{2} + 3 x )}{2 \cdot x}

x^{3} - 12 \cdot x \cdot 1 (x - 4) - 63

What is sqrt(25x^2-100x*y^2+100y^4) ?
The solution to sqrt(25x^2-100x*y^2+100y^4) is 5(x-2y^2)