What is expand (x+y'(x))(x+y) ?

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

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expand (x+y'(x))(x+y)

expand

(x + y^{'} (x)) (x + y)

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

Solution steps

(x + y^{'} (x)) (x + y)

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = x, b = y^{'} (x), c = x, d = y

= xx + x y + y^{^{'}} (x) x + y^{^{'}} (x) y

= xx + x y + x y^{^{'}} (x) + y^{^{'}} (x) y

xx = x^{2}

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

\frac{d}{d x} ((e^{- 0.5 x}) (4 - x)) - 2

(x + y i)^{5}

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

(x^{2} - \frac{5}{4}) e^{x}

\frac{5 x}{( 1 - x ) ^{2}}

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