What is expand ln(ax+b)*2x*(ax+b) ?

The solution to expand ln(ax+b)*2x*(ax+b) is 2ax^2ln(ax+b)+2bxln(ax+b)

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expand ln(ax+b)2x(ax+b)

expand

ln (a x + b) \cdot 2 x \cdot (a x + b)

2 a x^{2} ln (a x + b) + 2 b x ln (a x + b)

Solution steps

ln (a x + b) \cdot 2 x (a x + b)

= 2 x ln (a x + b) (a x + b)

Apply the distributive law:

a (b + c) = ab + a c

a = ln (a x + b) \cdot 2 x, b = a x, c = b

= ln (a x + b) \cdot 2 x a x + ln (a x + b) \cdot 2 x b

= 2 a xx ln (a x + b) + 2 b x ln (a x + b)

2 a xx ln (a x + b) = 2 a x^{2} ln (a x + b)

= 2 a x^{2} ln (a x + b) + 2 b x ln (a x + b)

(4 x + 7 y = 3, 7) (3 x - y = 16)

[x (x + 1)]^{2}

3 x (3 x + 2 x ln (x))

x \cdot 6 x

\frac{( 2 a - b ) ^{2}}{9}

What is expand ln(ax+b)*2x*(ax+b) ?
The solution to expand ln(ax+b)*2x*(ax+b) is 2ax^2ln(ax+b)+2bxln(ax+b)