What is expand ((2a-b)-3)/(4-2(2a-b)^2) ?

The solution to expand ((2a-b)-3)/(4-2(2a-b)^2) is (2a-b-3)/(4-8a^2+8ab-2b^2)

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expand ((2a-b)-3)/(4-2(2a-b)^2)

expand

\frac{( 2 a - b ) - 3}{4 - 2 ( 2 a - b ) ^{2}}

\frac{2 a - b - 3}{4 - 8 a ^{2} + 8 ab - 2 b ^{2}}

Solution steps

\frac{( 2 a - b ) - 3}{4 - 2 ( 2 a - b ) ^{2}}

Remove parentheses:

(a) = a

= \frac{2 a - b - 3}{4 - 2 ( 2 a - b ) ^{2}}

(2 a - b)^{2} = 4 a^{2} - 4 ab + b^{2}

= \frac{2 a - b - 3}{4 - 2 ( 4 a ^{2} - 4 ab + b ^{2} )}

Expand

4 - 2 (4 a^{2} - 4 ab + b^{2}) : 4 - 8 a^{2} + 8 ab - 2 b^{2}

= \frac{2 a - b - 3}{4 - 8 a ^{2} + 8 ab - 2 b ^{2}}

d x + (\frac{x}{y} - sin (y)) d y

3 x - 8 y - 2 z + 7 x + 3 y + x^{2}

a + b (a - b)

π (\frac{e ^{2}}{2} - \frac{1}{2 e ^{2}})

What is expand ((2a-b)-3)/(4-2(2a-b)^2) ?
The solution to expand ((2a-b)-3)/(4-2(2a-b)^2) is (2a-b-3)/(4-8a^2+8ab-2b^2)