What is sqrt(5)sqrt(x)(2sqrt(2)x-2sqrt(x)) ?

The solution to sqrt(5)sqrt(x)(2sqrt(2)x-2sqrt(x)) is (2sqrt(2)xsqrt(x)-2x)sqrt(5)

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simplify sqrt(5)sqrt(x)(2sqrt(2)x-2sqrt(x))

simplify

5 x (22 x - 2 x)

(22 x x - 2 x) 5

Solution steps

5 x (22 x - 2 x)

Apply the distributive law:

a (b - c) = ab - a c

x (22 x - 2 x) = x \cdot 22 x - x \cdot 2 x

= 5 (x \cdot 22 x - x \cdot 2 x)

Simplify

x \cdot 22 x - x \cdot 2 x : 22 x x - 2 x

= 5 (22 x x - 2 x)

= (22 x x - 2 x) 5

\frac{45}{15}

2 x^{2} + 8 x

- x + 7 = - 4 x - 20

\frac{\frac{1}{16}}{2}

\frac{1}{4} + \frac{1}{2} - \frac{2}{3}

What is sqrt(5)sqrt(x)(2sqrt(2)x-2sqrt(x)) ?
The solution to sqrt(5)sqrt(x)(2sqrt(2)x-2sqrt(x)) is (2sqrt(2)xsqrt(x)-2x)sqrt(5)