What is expand ((x-1)(y-1)(z-1))/((a-1)(b-1)) ?

The solution to expand ((x-1)(y-1)(z-1))/((a-1)(b-1)) is (xyz-xy-xz+x-yz+y+z-1)/(ab-a-b+1)

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expand ((x-1)(y-1)(z-1))/((a-1)(b-1))

expand

\frac{( x - 1 ) ( y - 1 ) ( z - 1 )}{( a - 1 ) ( b - 1 )}

\frac{x yz - x y - x z + x - yz + y + z - 1}{ab - a - b + 1}

Solution steps

\frac{( x - 1 ) ( y - 1 ) ( z - 1 )}{( a - 1 ) ( b - 1 )}

Expand

(a - 1) (b - 1) : ab - a - b + 1

= \frac{( x - 1 ) ( y - 1 ) ( z - 1 )}{ab - a - b + 1}

Expand

(x - 1) (y - 1) (z - 1) : x yz - x y - x z + x - yz + y + z - 1

= \frac{x yz - x y - x z + x - yz + y + z - 1}{ab - a - b + 1}

\frac{( - 3 - i ) ^{\frac{1}{3}} - 1}{3}

(m n^{3} + \frac{1}{4}) (m n^{3} - \frac{1}{5})

sin (x) (2 sin (x) + 1)

ln (2 x - 1)

\frac{2 ( 31 - 4 10 )}{9}

What is expand ((x-1)(y-1)(z-1))/((a-1)(b-1)) ?
The solution to expand ((x-1)(y-1)(z-1))/((a-1)(b-1)) is (xyz-xy-xz+x-yz+y+z-1)/(ab-a-b+1)