What is expand (x^2+4)^3ln(3x) ?

The solution to expand (x^2+4)^3ln(3x) is x^6ln(3x)+12x^4ln(3x)+48x^2ln(3x)+64ln(3x)

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expand (x^2+4)^3ln(3x)

expand

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

x^{6} ln (3 x) + 12 x^{4} ln (3 x) + 48 x^{2} ln (3 x) + 64 ln (3 x)

Solution steps

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

(x^{2} + 4)^{3} = x^{6} + 12 x^{4} + 48 x^{2} + 64

= ln (3 x) (x^{6} + 12 x^{4} + 48 x^{2} + 64)

= ln (3 x) (x^{6} + 12 x^{4} + 48 x^{2} + 64)

Distribute parentheses

= ln (3 x) x^{6} + ln (3 x) \cdot 12 x^{4} + ln (3 x) \cdot 48 x^{2} + ln (3 x) \cdot 64

= x^{6} ln (3 x) + 12 x^{4} ln (3 x) + 48 x^{2} ln (3 x) + 64 ln (3 x)

- 3 (2 - 4) + 9 (2)^{'}

2 \cdot (2 + \frac{2}{11})

\frac{( 5 x )}{( s ^{2} + 4 ) ( 12 x + 7 )}

\frac{10 x + 1}{3 x ^{2}}

\frac{3 ( 3 x ^{2} - 2 ) ^{2} ( 6 x ^{2} + 18 x + 4 )}{( 2 x + 3 ) ^{4}}

What is expand (x^2+4)^3ln(3x) ?
The solution to expand (x^2+4)^3ln(3x) is x^6ln(3x)+12x^4ln(3x)+48x^2ln(3x)+64ln(3x)