What is expand log_{7}(x)(5y(3y+4)) ?

The solution to expand log_{7}(x)(5y(3y+4)) is 15y^2log_{7}(x)+20ylog_{7}(x)

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expand log_{7}(x)(5y(3y+4))

expand

lo g_{7} (x) (5 y (3 y + 4))

15 y^{2} lo g_{7} (x) + 20 y lo g_{7} (x)

Solution steps

lo g_{7} (x) (5 y (3 y + 4))

Remove parentheses:

(a) = a

= lo g_{7} (x) \cdot 5 y (3 y + 4)

= 5 y lo g_{7} (x) (3 y + 4)

Apply the distributive law:

a (b + c) = ab + a c

a = lo g_{7} (x) \cdot 5 y, b = 3 y, c = 4

= lo g_{7} (x) \cdot 5 y \cdot 3 y + lo g_{7} (x) \cdot 5 y \cdot 4

= 5 \cdot 3 yy lo g_{7} (x) + 5 \cdot 4 y lo g_{7} (x)

Simplify

5 \cdot 3 yy lo g_{7} (x) + 5 \cdot 4 y lo g_{7} (x) : 15 y^{2} lo g_{7} (x) + 20 y lo g_{7} (x)

= 15 y^{2} lo g_{7} (x) + 20 y lo g_{7} (x)

(y - x y^{'} (x))^{3}

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

- 2

\frac{1}{3} (2 - x)^{3}

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

What is expand log_{7}(x)(5y(3y+4)) ?
The solution to expand log_{7}(x)(5y(3y+4)) is 15y^2log_{7}(x)+20ylog_{7}(x)