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

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

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

expand

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

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

Solution steps

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

Distribute parentheses

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

Simplify

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

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

\frac{160}{7}

\frac{\frac{s i n ( x )}{c o s ( x )}}{sin ( x )}

(4 x^{2} + 2) (6 x^{2} + 8 x + 5)

\frac{0}{\frac{1}{2}}

\frac{1}{3} - \frac{3}{5}

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