What is expand sqrt(x-3)(x^2(x^3+8)) ?

The solution to expand sqrt(x-3)(x^2(x^3+8)) is x^5sqrt(x-3)+8x^2sqrt(x-3)

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expand sqrt(x-3)(x^2(x^3+8))

expand

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

x^{5} x - 3 + 8 x^{2} x - 3

Solution steps

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

Remove parentheses:

(a) = a

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

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

Apply the distributive law:

a (b + c) = ab + a c

a = x - 3 x^{2}, b = x^{3}, c = 8

= x - 3 x^{2} x^{3} + x - 3 x^{2} \cdot 8

= x^{3} x^{2} x - 3 + 8 x^{2} x - 3

x^{3} x^{2} x - 3 = x^{5} x - 3

= x^{5} x - 3 + 8 x^{2} x - 3

- \frac{2 ( 2 x - 3 )}{x - 3}

d y ((\frac{1}{1 - y}) - 1)

\frac{( 9 x )}{( x - 9 ) ^{2}}

(2 m + 1) + (2 m - 1)

\frac{2 t - 31}{5}

What is expand sqrt(x-3)(x^2(x^3+8)) ?
The solution to expand sqrt(x-3)(x^2(x^3+8)) is x^5sqrt(x-3)+8x^2sqrt(x-3)