What is expand-5x^2(6-ln(x)) ?

The solution to expand-5x^2(6-ln(x)) is -30x^2+5x^2ln(x)

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expand-5x^2(6-ln(x))

expand

- 5 x^{2} (6 - ln (x))

- 30 x^{2} + 5 x^{2} ln (x)

Solution steps

- 5 x^{2} (6 - ln (x))

Apply the distributive law:

a (b - c) = ab - a c

a = - 5 x^{2}, b = 6, c = ln (x)

= - 5 x^{2} \cdot 6 - (- 5 x^{2}) ln (x)

Apply minus-plus rules

- (- a) = a

= - 5 \cdot 6 x^{2} + 5 x^{2} ln (x)

Multiply the numbers:

5 \cdot 6 = 30

= - 30 x^{2} + 5 x^{2} ln (x)

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What is expand-5x^2(6-ln(x)) ?
The solution to expand-5x^2(6-ln(x)) is -30x^2+5x^2ln(x)