What is expand ln(4x)9(x+1)10 ?

The solution to expand ln(4x)9(x+1)10 is 90xln(4x)+90ln(4x)

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expand ln(4x)9(x+1)10

expand

ln (4 x) 9 (x + 1) 10

90 x ln (4 x) + 90 ln (4 x)

Solution steps

ln (4 x) \cdot 9 (x + 1) \cdot 10

= 9 \cdot 10 ln (4 x) (x + 1)

Apply the distributive law:

a (b + c) = ab + a c

a = ln (4 x) \cdot 9 \cdot 10, b = x, c = 1

= ln (4 x) \cdot 9 \cdot 10 x + ln (4 x) \cdot 9 \cdot 10 \cdot 1

= 9 \cdot 10 x ln (4 x) + 9 \cdot 10 \cdot 1 \cdot ln (4 x)

Simplify

9 \cdot 10 x ln (4 x) + 9 \cdot 10 \cdot 1 \cdot ln (4 x) : 90 x ln (4 x) + 90 ln (4 x)

= 90 x ln (4 x) + 90 ln (4 x)

(x_{0} + α x^{\frac{1}{2}})^{3}

\frac{x ^{3} + 1}{( x - 2 ) ^{2}}

\frac{a ( a - 1 )}{2}

a (2 \cdot 3 + a)

(2 - \frac{x}{2})^{7}

What is expand ln(4x)9(x+1)10 ?
The solution to expand ln(4x)9(x+1)10 is 90xln(4x)+90ln(4x)