What is sqrt(4a^4-8a^3b) ?

The solution to sqrt(4a^4-8a^3b) is 2asqrt(a)sqrt(a-2b)

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simplify sqrt(4a^4-8a^3b)

simplify

4 a^{4} - 8 a^{3} b

2 a a a - 2 b

Solution steps

4 a^{4} - 8 a^{3} b

Factor out common term

4 a^{3} : 4 a^{3} (a - 2 b)

= 4 a^{3} (a - 2 b)

4 a^{3} (a - 2 b) = 4 a^{3} a - 2 b

= 4 a^{3} a - 2 b

4 = 2

= 2 a^{3} a - 2 b

Simplify

a^{3} : a a

= 2 a a a - 2 b

24 \cdot (- 2)

12 x^{2} - 36 x + 27

4 x^{4} - 12 x^{2} y^{3} + 9 y^{6}

64 \cdot \frac{1}{2}

- 4 y - y

What is sqrt(4a^4-8a^3b) ?
The solution to sqrt(4a^4-8a^3b) is 2asqrt(a)sqrt(a-2b)