What is expand E[(y-a-bx)^2] ?

The solution to expand E[(y-a-bx)^2] is -2aEy-2bEyx+Ey^2+a^2E+2abEx+b^2Ex^2

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expand E[(y-a-bx)^2]

expand

E [(y - a - b x)^{2}]

- 2 a E y - 2 b E y x + E y^{2} + a^{2} E + 2 ab E x + b^{2} E x^{2}

Solution steps

E ((y - a - b x)^{2})

Remove parentheses:

(a) = a

= E (y - a - b x)^{2}

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

= E (y^{2} - 2 a y - 2 b y x + a^{2} + 2 ab x + b^{2} x^{2})

Distribute parentheses

= E (- 2 a y) + E (- 2 b y x) + E y^{2} + E a^{2} + E \cdot 2 ab x + E b^{2} x^{2}

Apply minus-plus rules

+ (- a) = - a

= - 2 a E y - 2 b E y x + E y^{2} + a^{2} E + 2 ab E x + b^{2} E x^{2}

(2, - 2) \cdot (2 y, - 2 x)

\frac{( 9 x - 1 ) ^{2}}{36 x}

\frac{( s + 2 a ) \cdot ( s + a )}{6 ( s + 1 )}

\frac{( 64 π ^{2} + 4 ) ^{\frac{3}{2}} - 8}{3}

\frac{w ( 1 - e )}{e}

What is expand E[(y-a-bx)^2] ?
The solution to expand E[(y-a-bx)^2] is -2aEy-2bEyx+Ey^2+a^2E+2abEx+b^2Ex^2