What is expand log_{10}(x)(log_{10}(x)-6) ?

The solution to expand log_{10}(x)(log_{10}(x)-6) is log_{10}(x)^2-6log_{10}(x)

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expand log_{10}(x)(log_{10}(x)-6)

expand

lo g_{10} (x) (lo g_{10} (x) - 6)

lo g_{10} (x)^{2} - 6 lo g_{10} (x)

Solution steps

lo g_{10} (x) (lo g_{10} (x) - 6)

Apply the distributive law:

a (b - c) = ab - a c

lo g_{10} (x) (lo g_{10} (x) - 6) = lo g_{10} (x) lo g_{10} (x) - lo g_{10} (x) \cdot 6

= lo g_{10} (x) lo g_{10} (x) - lo g_{10} (x) \cdot 6

Simplify

lo g_{10} (x) lo g_{10} (x) - lo g_{10} (x) \cdot 6 : lo g_{10} (x)^{2} - 6 lo g_{10} (x)

= lo g_{10} (x)^{2} - 6 lo g_{10} (x)

\frac{s ( s + 2 )}{( s + 1 ) ( s + 3 )}

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(3 x + 14 + x^{3} + 9)^{2}

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

(y^{\frac{7}{4}} - 1)^{4}

What is expand log_{10}(x)(log_{10}(x)-6) ?
The solution to expand log_{10}(x)(log_{10}(x)-6) is log_{10}(x)^2-6log_{10}(x)