What is expand ((x-1)(x+2))/((x-3)(x+7)) ?

The solution to expand ((x-1)(x+2))/((x-3)(x+7)) is (x^2+x-2)/(x^2+4x-21)

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expand ((x-1)(x+2))/((x-3)(x+7))

expand

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

\frac{x ^{2} + x - 2}{x ^{2} + 4 x - 21}

Solution steps

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

Expand

(x - 3) (x + 7) : x^{2} + 4 x - 21

= \frac{( x - 1 ) ( x + 2 )}{x ^{2} + 4 x - 21}

Expand

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

= \frac{x ^{2} + x - 2}{x ^{2} + 4 x - 21}

- \frac{12 s ^{2} - 35 s + 28}{2 ( s + 1 ) ^{2} ( s - 2 )}

5 (2 + 9)

\frac{48 x ^{2} + 3 x + 18}{( 5 x ^{2} + x + 3 ) ( x - 3 )}

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

(2 + 5) (3 - 11)

What is expand ((x-1)(x+2))/((x-3)(x+7)) ?
The solution to expand ((x-1)(x+2))/((x-3)(x+7)) is (x^2+x-2)/(x^2+4x-21)