What is 2sqrt(8x^3)(3sqrt(10x^4)-xsqrt(5x^2)) ?

The solution to 2sqrt(8x^3)(3sqrt(10x^4)-xsqrt(5x^2)) is 4sqrt(2)x^3sqrt(x)(3sqrt(10)-sqrt(5))

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simplify 2sqrt(8x^3)(3sqrt(10x^4)-xsqrt(5x^2))

simplify

2 8 x^{3} (3 10 x^{4} - x 5 x^{2})

42 x^{3} x (310 - 5)

Solution steps

2 8 x^{3} (3 10 x^{4} - x 5 x^{2})

Simplify

8 x^{3} : 22 x x

= 2 \cdot 22 x x (3 10 x^{4} - x 5 x^{2})

Multiply the numbers:

2 \cdot 2 = 4

= 42 x x (3 10 x^{4} - x 5 x^{2})

Simplify

3 10 x^{4} - x 5 x^{2} : x^{2} (310 - 5)

= 42 x x x^{2} (310 - 5)

Simplify

x x^{2} : x^{3}

= 42 x^{3} x (310 - 5)

(2 x + 1)^{2} + (2 x - 3)^{2} - 8 x (x - 1)

\frac{87}{100} (\frac{1300}{11}) + 11

(2^{4} a^{9}) (2^{- 2} a^{- 3})

[\frac{( 7 x ^{3} y z ^{5} ) ^{6}}{( 49 x ^{6} y ^{2} z ^{4} ) ^{3}}]^{4}

What is 2sqrt(8x^3)(3sqrt(10x^4)-xsqrt(5x^2)) ?
The solution to 2sqrt(8x^3)(3sqrt(10x^4)-xsqrt(5x^2)) is 4sqrt(2)x^3sqrt(x)(3sqrt(10)-sqrt(5))