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

The solution to expand y'(x)(x-2)^2-2xy+4y is x^2y'(x)-4xy'(x)+4y'(x)-2xy+4y

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expand y'(x)(x-2)^2-2xy+4y

expand

y^{'} (x) (x - 2)^{2} - 2 x y + 4 y

x^{2} y' (x) - 4 x y' (x) + 4 y' (x) - 2 x y + 4 y

Solution steps

y^{'} (x) (x - 2)^{2} - 2 x y + 4 y

(x - 2)^{2} = x^{2} - 4 x + 4

= y^{^{'}} (x) (x^{2} - 4 x + 4) - 2 x y + 4 y

Expand

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

= x^{2} y^{'} (x) - 4 x y^{'} (x) + 4 y^{'} (x) - 2 x y + 4 y

- \frac{8 ( 2 - 2 x ) ^{3}}{3}

d x (25 x^{2} + 9)

\frac{k ( s + z )}{s ( s + 1 )}

\frac{( 2 n + 1 ) ^{2}}{( 2 n - 2 ) 2}

9 (x = 3)^{7} + 5 (x + 3) 4 + 2 (x + 3)

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