What is expand (-6x+10)ln(x^6+4x-5) ?

The solution to expand (-6x+10)ln(x^6+4x-5) is -6xln(x^6+4x-5)+10ln(x^6+4x-5)

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expand (-6x+10)ln(x^6+4x-5)

expand

(- 6 x + 10) ln (x^{6} + 4 x - 5)

- 6 x ln (x^{6} + 4 x - 5) + 10 ln (x^{6} + 4 x - 5)

Solution steps

(- 6 x + 10) ln (x^{6} + 4 x - 5)

= ln (x^{6} + 4 x - 5) (- 6 x + 10)

Apply the distributive law:

a (b + c) = ab + a c

a = ln (x^{6} + 4 x - 5), b = - 6 x, c = 10

= ln (x^{6} + 4 x - 5) (- 6 x) + ln (x^{6} + 4 x - 5) \cdot 10

Apply minus-plus rules

+ (- a) = - a

= - 6 x ln (x^{6} + 4 x - 5) + 10 ln (x^{6} + 4 x - 5)

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What is expand (-6x+10)ln(x^6+4x-5) ?
The solution to expand (-6x+10)ln(x^6+4x-5) is -6xln(x^6+4x-5)+10ln(x^6+4x-5)