What is expand ((x-4)y)/((x-4)^2+y^2) ?

The solution to expand ((x-4)y)/((x-4)^2+y^2) is (xy-4y)/(x^2-8x+16+y^2)

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expand ((x-4)y)/((x-4)^2+y^2)

expand

\frac{( x - 4 ) y}{( x - 4 ) ^{2} + y ^{2}}

\frac{x y - 4 y}{x ^{2} - 8 x + 16 + y ^{2}}

Solution steps

\frac{( x - 4 ) y}{( x - 4 ) ^{2} + y ^{2}}

Expand

(x - 4)^{2} + y^{2} : x^{2} - 8 x + 16 + y^{2}

= \frac{y ( x - 4 )}{x ^{2} - 8 x + 16 + y ^{2}}

Expand

(x - 4) y : x y - 4 y

= \frac{x y - 4 y}{x ^{2} - 8 x + 16 + y ^{2}}

(1 + 3 i) (4 + 3 i)

e^{2 x^{2} + 11 x + 16} (4 x + 11)

648 - 4 π (x + 2)^{2}

\frac{100}{( 2 + s ) ( 5 + s )}

(ln (x)) + c

What is expand ((x-4)y)/((x-4)^2+y^2) ?
The solution to expand ((x-4)y)/((x-4)^2+y^2) is (xy-4y)/(x^2-8x+16+y^2)