What is expand (900-0.01xln(x))x ?

The solution to expand (900-0.01xln(x))x is 900x-0.01x^2ln(x)

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expand (900-0.01xln(x))x

expand

(900 - 0.01 x ln (x)) x

900 x - 0.01 x^{2} ln (x)

Solution steps

(900 - 0.01 x ln (x)) x

= x (900 - 0.01 x ln (x))

Apply the distributive law:

a (b - c) = ab - a c

a = x, b = 900, c = 0.01 x ln (x)

= x \cdot 900 - x \cdot 0.01 x ln (x)

= 900 x - 0.01 xx ln (x)

0.01 xx ln (x) = 0.01 x^{2} ln (x)

= 900 x - 0.01 x^{2} ln (x)

2 y - \frac{( 3 x ^{2} + 2 ) x ^{3} + 2 y}{2 x ^{3} + 4 y}

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(\frac{2}{3} x + 1) (\frac{1}{5} x - \frac{1}{4})

t y^{''} (t) + 4 (t - 1) y^{'} (t) + e^{2 t} y

What is expand (900-0.01xln(x))x ?
The solution to expand (900-0.01xln(x))x is 900x-0.01x^2ln(x)