What is expand e^yy(5ln(5)-5) ?

The solution to expand e^yy(5ln(5)-5) is 5ln(5)e^yy-5e^yy

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expand e^yy(5ln(5)-5)

expand

e^{y} y (5 ln (5) - 5)

5 ln (5) e^{y} y - 5 e^{y} y

Solution steps

e^{y} y (5 ln (5) - 5)

= (5 ln (5) - 5) e^{y} y

Apply the distributive law:

a (b - c) = ab - a c

a = e^{y} y, b = 5 ln (5), c = 5

= e^{y} y \cdot 5 ln (5) - e^{y} y \cdot 5

= 5 ln (5) e^{y} y - 5 e^{y} y

e^{2 t} \cdot (3 t + 6)

\frac{[ ( x + h ) ^{3} x ] - x ^{3} - x}{h}

A (s^{2} + 2 s + 5)^{2}

(i - 3) ln (- 4 i + 2)

\frac{2}{( z - 2 j ) ( z + j )}

What is expand e^yy(5ln(5)-5) ?
The solution to expand e^yy(5ln(5)-5) is 5ln(5)e^yy-5e^yy