What is expand 5^k*ln(k+1)*(k+1) ?

The solution to expand 5^k*ln(k+1)*(k+1) is 5^kkln(k+1)+5^kln(k+1)

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expand 5^kln(k+1)(k+1)

expand

5^{k} \cdot ln (k + 1) \cdot (k + 1)

5^{k} k ln (k + 1) + 5^{k} ln (k + 1)

Solution steps

5^{k} ln (k + 1) (k + 1)

Apply the distributive law:

a (b + c) = ab + a c

a = 5^{k} ln (k + 1), b = k, c = 1

= 5^{k} ln (k + 1) k + 5^{k} ln (k + 1) \cdot 1

= 5^{k} k ln (k + 1) + 1 \cdot 5^{k} ln (k + 1)

Multiply:

1 \cdot 5^{k} = 5^{k}

= 5^{k} k ln (k + 1) + 5^{k} ln (k + 1)

\frac{e ^{- s} + s}{s ( s - 6 ) ( s + 1 )}

(- 4 - x - 3) (- 4 + x - 3)

(4 x, - 8 y) \cdot (\frac{2}{5}, - \frac{1}{5})

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

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

What is expand 5^k*ln(k+1)*(k+1) ?
The solution to expand 5^k*ln(k+1)*(k+1) is 5^kkln(k+1)+5^kln(k+1)