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

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

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

expand

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

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

Solution steps

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

Apply FOIL method:

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

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

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

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

xx = x^{2}

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

1 - x^{2} (1 - x^{2})

(x - 2 y + 15) (x + 4 y + 15)

(2 + 3 x + x^{2})^{5}

(- 3, 1) y (1, - 2)

\frac{- 3 x ^{2} + 10}{x ^{2} ( x ^{4} - 16 )}

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