What is expand (A(1-x)+B(x))/((x)(1-x)) ?

The solution to expand (A(1-x)+B(x))/((x)(1-x)) is (A-Ax+Bx)/(x-x^2)

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expand (A(1-x)+B(x))/((x)(1-x))

expand

\frac{A ( 1 - x ) + B ( x )}{( x ) ( 1 - x )}

\frac{A - A x + B x}{x - x ^{2}}

Solution steps

\frac{A ( 1 - x ) + B ( x )}{( x ) ( 1 - x )}

Remove parentheses:

(a) = a

= \frac{A ( 1 - x ) + B x}{x ( 1 - x )}

Expand

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

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

Expand

A (1 - x) + B x : A - A x + B x

= \frac{A - A x + B x}{x - x ^{2}}

cos (3) (t - π)

0.25 (c = - 16)

(x + 2 y) d x + (2 x - y) d y

\frac{1}{6} (5 - ln (18))

(- 3 a b^{3})^{2}

What is expand (A(1-x)+B(x))/((x)(1-x)) ?
The solution to expand (A(1-x)+B(x))/((x)(1-x)) is (A-Ax+Bx)/(x-x^2)