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) (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

- \frac{s + 3}{( s + 5 ) ( s ^{2} + 4 s + 5 )}

(x^{3} + x y^{2} - y) d x

0.03916 (1 - e^{- 2.3 t}) - 0.015 t

(7 + 7 sin (6 π t))^{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