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

The solution to expand-((x+r-1)(x+r+2))/((x+r)(-x+r+4)) is -(2rx+x^2+x+r^2+r-2)/(-x^2+4x+r^2+4r)

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

expand

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

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

Solution steps

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

Expand

(x + r) (- x + r + 4) : - x^{2} + 4 x + r^{2} + 4 r

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

Expand

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

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

(y + Δ y)^{2}

\frac{3 x + 6}{( x - 2 ) ( x + 4 )}

(6 e - 3 f - 4) x^{2}

(3 x - 1 - 5) (3 x - 1 + 5)

lo g_{10} (5) (2 x (8 x + 7))

What is expand-((x+r-1)(x+r+2))/((x+r)(-x+r+4)) ?
The solution to expand-((x+r-1)(x+r+2))/((x+r)(-x+r+4)) is -(2rx+x^2+x+r^2+r-2)/(-x^2+4x+r^2+4r)