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

The solution to expand x^6(2x-5ln(x)) is 2x^7-5x^6ln(x)

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

expand

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

2 x^{7} - 5 x^{6} ln (x)

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

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

2 x^{6} x = 2 x^{7}

= 2 x^{7} - 5 x^{6} ln (x)

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What is expand x^6(2x-5ln(x)) ?
The solution to expand x^6(2x-5ln(x)) is 2x^7-5x^6ln(x)