What is expand (x-3)sqrt(2x^3-3x^2-5x-12) ?

The solution to expand (x-3)sqrt(2x^3-3x^2-5x-12) is xsqrt(2x^3-3x^2-5x-12)-3sqrt(2x^3-3x^2-5x-12)

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expand (x-3)sqrt(2x^3-3x^2-5x-12)

expand

(x - 3) 2 x^{3} - 3 x^{2} - 5 x - 12

x 2 x^{3} - 3 x^{2} - 5 x - 12 - 3 2 x^{3} - 3 x^{2} - 5 x - 12

Solution steps

(x - 3) 2 x^{3} - 3 x^{2} - 5 x - 12

= 2 x^{3} - 3 x^{2} - 5 x - 12 (x - 3)

Apply the distributive law:

a (b - c) = ab - a c

2 x^{3} - 3 x^{2} - 5 x - 12 (x - 3) = 2 x^{3} - 3 x^{2} - 5 x - 12 x - 2 x^{3} - 3 x^{2} - 5 x - 12 \cdot 3

= 2 x^{3} - 3 x^{2} - 5 x - 12 x - 2 x^{3} - 3 x^{2} - 5 x - 12 \cdot 3

= x 2 x^{3} - 3 x^{2} - 5 x - 12 - 3 2 x^{3} - 3 x^{2} - 5 x - 12

(z^{2} - 8) e^{3 - z}

cos (3 t) (u (t - 4 π))

\frac{( 4 x + 1 ) ^{3}}{12}

\frac{4 y ^{9}}{8 y ^{3}}

\frac{s - 1}{( s + 3 ) ( s ^{2} + 6 s + 13 )}

What is expand (x-3)sqrt(2x^3-3x^2-5x-12) ?
The solution to expand (x-3)sqrt(2x^3-3x^2-5x-12) is xsqrt(2x^3-3x^2-5x-12)-3sqrt(2x^3-3x^2-5x-12)