What is expand 3(x-1)^2*ln(2x) ?

The solution to expand 3(x-1)^2*ln(2x) is 3x^2ln(2x)-6xln(2x)+3ln(2x)

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expand 3(x-1)^2*ln(2x)

expand

3 (x - 1)^{2} \cdot ln (2 x)

3 x^{2} ln (2 x) - 6 x ln (2 x) + 3 ln (2 x)

Solution steps

3 (x - 1)^{2} ln (2 x)

(x - 1)^{2} = x^{2} - 2 x + 1

= 3 ln (2 x) (x^{2} - 2 x + 1)

= 3 ln (2 x) (x^{2} - 2 x + 1)

Distribute parentheses

= 3 ln (2 x) x^{2} + 3 ln (2 x) (- 2 x) + 3 ln (2 x) \cdot 1

Apply minus-plus rules

+ (- a) = - a

= 3 x^{2} ln (2 x) - 3 \cdot 2 x ln (2 x) + 3 \cdot 1 \cdot ln (2 x)

Simplify

3 x^{2} ln (2 x) - 3 \cdot 2 x ln (2 x) + 3 \cdot 1 \cdot ln (2 x) : 3 x^{2} ln (2 x) - 6 x ln (2 x) + 3 ln (2 x)

= 3 x^{2} ln (2 x) - 6 x ln (2 x) + 3 ln (2 x)

(k - kb) d t

\frac{k + 1}{3 ( 42 + 48 k )}

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

y + 4 (y - 1 = 9 - 2 (y + 3))

\frac{( x ^{2} + 8 ) ^{2}}{x ^{5}}

What is expand 3(x-1)^2*ln(2x) ?
The solution to expand 3(x-1)^2*ln(2x) is 3x^2ln(2x)-6xln(2x)+3ln(2x)