What is expand (2ab+a(1+ab)+1)/(1+(a+1)b) ?

The solution to expand (2ab+a(1+ab)+1)/(1+(a+1)b) is (2ab+a+a^2b+1)/(1+ab+b)

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expand (2ab+a(1+ab)+1)/(1+(a+1)b)

expand

\frac{2 ab + a ( 1 + ab ) + 1}{1 + ( a + 1 ) b}

\frac{2 ab + a + a ^{2} b + 1}{1 + ab + b}

Solution steps

\frac{2 ab + a ( 1 + ab ) + 1}{1 + ( a + 1 ) b}

Expand

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

= \frac{2 ab + a ( ab + 1 ) + 1}{1 + ab + b}

Expand

2 ab + a (1 + ab) + 1 : 2 ab + a + a^{2} b + 1

= \frac{2 ab + a + a ^{2} b + 1}{1 + ab + b}

\frac{( 2 b + 3 a ) ( - 6 b + 3 a )}{b ^{2}}

\frac{4}{5 ( x + 1 )}

\frac{1}{( s + b ) ( s + a )}

f (2, 4, - 3, 3)

\frac{1}{( 4 s ^{4} - 4 s + 5 ) ^{2}}

What is expand (2ab+a(1+ab)+1)/(1+(a+1)b) ?
The solution to expand (2ab+a(1+ab)+1)/(1+(a+1)b) is (2ab+a+a^2b+1)/(1+ab+b)