What is expand ((x-1)*(x-2))/((x+3)*(x+4)) ?

The solution to expand ((x-1)*(x-2))/((x+3)*(x+4)) is (x^2-3x+2)/(x^2+7x+12)

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expand ((x-1)(x-2))/((x+3)(x+4))

expand

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

\frac{x ^{2} - 3 x + 2}{x ^{2} + 7 x + 12}

Solution steps

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

Expand

(x + 3) (x + 4) : x^{2} + 7 x + 12

= \frac{( x - 1 ) ( x - 2 )}{x ^{2} + 7 x + 12}

Expand

(x - 1) (x - 2) : x^{2} - 3 x + 2

= \frac{x ^{2} - 3 x + 2}{x ^{2} + 7 x + 12}

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

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

sin (\frac{( 2 k + 1 ) π}{2})

\frac{( 32 y + 1 ) ^{2}}{16}

(x^{3} + 2 x) e^{5} x - 1

What is expand ((x-1)*(x-2))/((x+3)*(x+4)) ?
The solution to expand ((x-1)*(x-2))/((x+3)*(x+4)) is (x^2-3x+2)/(x^2+7x+12)