What is expand (x-y)(x^3+x^2y+xy^2+y^3) ?

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

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expand (x-y)(x^3+x^2y+xy^2+y^3)

expand

(x - y) (x^{3} + x^{2} y + x y^{2} + y^{3})

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

Solution steps

(x - y) (x^{3} + x^{2} y + x y^{2} + y^{3})

Distribute parentheses

= x x^{3} + x x^{2} y + xx y^{2} + x y^{3} - y x^{3} - y x^{2} y - y x y^{2} - y y^{3}

Simplify

x x^{3} + x x^{2} y + xx y^{2} + x y^{3} - y x^{3} - y x^{2} y - y x y^{2} - y y^{3} : x^{4} + x^{2} y^{2} - y^{2} x^{2} - y^{4}

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

- lo g_{10} (1 \cdot 1 0^{- 7})

- 224 + 26 - 212

4^{2} + 5 \cdot 2^{2}

\frac{3 y}{y ^{2} + 7 y + 10} + \frac{2}{y + 2}

729 x^{9} + 64

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