What is expand (4x^3+5)*(x^4+5x)^{1/2} ?

The solution to expand (4x^3+5)*(x^4+5x)^{1/2} is (x^4+5x)^{1/2}*4x^3+(x^4+5x)^{1/2}*5

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expand (4x^3+5)*(x^4+5x)^{1/2}

expand

(4 x^{3} + 5) \cdot (x^{4} + 5 x)^{\frac{1}{2}}

(x^{4} + 5 x)^{\frac{1}{2}} \cdot 4 x^{3} + (x^{4} + 5 x)^{\frac{1}{2}} \cdot 5

Solution steps

(4 x^{3} + 5) (x^{4} + 5 x)^{\frac{1}{2}}

= (x^{4} + 5 x)^{\frac{1}{2}} (4 x^{3} + 5)

Apply the distributive law:

a (b + c) = ab + a c

(x^{4} + 5 x)^{\frac{1}{2}} (4 x^{3} + 5) = (x^{4} + 5 x)^{\frac{1}{2}} \cdot 4 x^{3} + (x^{4} + 5 x)^{\frac{1}{2}} \cdot 5

= (x^{4} + 5 x)^{\frac{1}{2}} \cdot 4 x^{3} + (x^{4} + 5 x)^{\frac{1}{2}} \cdot 5

((X - 4) X - 1) \cdot (53 + 5 X - 1)

\frac{( 1 + 3 j ) ( 1 + 7 j )}{( 7 - 9 j ) ( 2 - j )}

(x - \frac{1}{2}) (x - 1)

4 (sin^{6} (x) + cos^{6} (x))

\frac{3 ( 2 x y - x ^{2} \frac{d y}{d x} )}{2 y ^{2}}

What is expand (4x^3+5)*(x^4+5x)^{1/2} ?
The solution to expand (4x^3+5)*(x^4+5x)^{1/2} is (x^4+5x)^{1/2}*4x^3+(x^4+5x)^{1/2}*5