What is expand ((10+x)/(x-2))(3/(10-x)) ?

The solution to expand ((10+x)/(x-2))(3/(10-x)) is (30+3x)/(12x-x^2-20)

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expand ((10+x)/(x-2))(3/(10-x))

expand

(\frac{10 + x}{x - 2}) (\frac{3}{10 - x})

\frac{30 + 3 x}{12 x - x ^{2} - 20}

Solution steps

(\frac{10 + x}{x - 2}) (\frac{3}{10 - x})

Remove parentheses:

(a) = a

= \frac{10 + x}{x - 2} \cdot \frac{3}{10 - x}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{( 10 + x ) \cdot 3}{( x - 2 ) ( 10 - x )}

Expand

(x - 2) (10 - x) : 12 x - x^{2} - 20

= \frac{3 ( x + 10 )}{12 x - x ^{2} - 20}

Expand

(10 + x) \cdot 3 : 30 + 3 x

= \frac{30 + 3 x}{12 x - x ^{2} - 20}

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

2^{39} - 2^{11}

\frac{( - 2 a ^{2} - 1 ) ( 4 a ^{4} - 2 a ^{2} + 1 )}{8}

\frac{i}{( a + bi ) ^{2}}

\frac{2 x ^{3} + 5 x - 1}{( 4 x + 7 ) ^{2} ( x ^{2} + 1 ) ^{3}}

What is expand ((10+x)/(x-2))(3/(10-x)) ?
The solution to expand ((10+x)/(x-2))(3/(10-x)) is (30+3x)/(12x-x^2-20)