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

The solution to expand (x+y)(x+y)(x+y)(x+y) is x^4+y^4+5x^2y^2+y^2x^2+4x^3y+4xy^3

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

expand

(x + y) (x + y) (x + y) (x + y)

x^{4} + y^{4} + 5 x^{2} y^{2} + y^{2} x^{2} + 4 x^{3} y + 4 x y^{3}

Solution steps

(x + y) (x + y) (x + y) (x + y)

Expand

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

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

Apply FOIL method

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

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

Distribute parentheses

= x^{2} x^{2} + x^{2} \cdot 2 x y + x^{2} y^{2} + 2 x y x^{2} + 2 x y \cdot 2 x y + 2 x y y^{2} + y^{2} x^{2} + y^{2} \cdot 2 x y + y^{2} y^{2}

Simplify

x^{2} x^{2} + x^{2} \cdot 2 x y + x^{2} y^{2} + 2 x y x^{2} + 2 x y \cdot 2 x y + 2 x y y^{2} + y^{2} x^{2} + y^{2} \cdot 2 x y + y^{2} y^{2} : x^{4} + y^{4} + 5 x^{2} y^{2} + y^{2} x^{2} + 4 x^{3} y + 4 x y^{3}

= x^{4} + y^{4} + 5 x^{2} y^{2} + y^{2} x^{2} + 4 x^{3} y + 4 x y^{3}

\frac{( x ^{2} + 4 )}{( x ^{3} - 27 ) x}

\frac{d}{d t} ((x) (10 x + 30 t))

3 (4 y = 3 - 5 y + 7)

f (x) (3 x - 1)^{2} e^{2 x + 1}

(4 x^{5} - 5) d x

What is expand (x+y)(x+y)(x+y)(x+y) ?
The solution to expand (x+y)(x+y)(x+y)(x+y) is x^4+y^4+5x^2y^2+y^2x^2+4x^3y+4xy^3