What is expand sqrt(x+3)*(x^2-4) ?

The solution to expand sqrt(x+3)*(x^2-4) is x^2sqrt(x+3)-4sqrt(x+3)

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expand sqrt(x+3)*(x^2-4)

expand

x + 3 \cdot (x^{2} - 4)

x^{2} x + 3 - 4 x + 3

Solution steps

x + 3 (x^{2} - 4)

Apply the distributive law:

a (b - c) = ab - a c

x + 3 (x^{2} - 4) = x + 3 x^{2} - x + 3 \cdot 4

= x + 3 x^{2} - x + 3 \cdot 4

= x^{2} x + 3 - 4 x + 3

(1 - \frac{6}{y} + \frac{9}{y ^{2}}) (2 - \frac{6}{y + 3}) y

(2 v y - 3 y) (v d y + y d v)

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

\frac{8 ( 3 x ^{2} + 4 )}{( x ^{2} - 4 ) ^{3}}

\frac{1}{3} H (t - 6) - \frac{1}{3} e^{- 3 (t - 6)}

What is expand sqrt(x+3)*(x^2-4) ?
The solution to expand sqrt(x+3)*(x^2-4) is x^2sqrt(x+3)-4sqrt(x+3)