What is x^2(y^2-xy^2+1)-(x^3+x^2+1)*y^2 ?

The solution to x^2(y^2-xy^2+1)-(x^3+x^2+1)*y^2 is -2x^3y^2+x^2-y^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify x^2(y^2-xy^2+1)-(x^3+x^2+1)*y^2

simplify

x^{2} (y^{2} - x y^{2} + 1) - (x^{3} + x^{2} + 1) \cdot y^{2}

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

Solution steps

x^{2} (y^{2} - x y^{2} + 1) - (x^{3} + x^{2} + 1) y^{2}

= x^{2} (y^{2} - x y^{2} + 1) - y^{2} (x^{3} + x^{2} + 1)

Expand

x^{2} (y^{2} - x y^{2} + 1) : x^{2} y^{2} - x^{3} y^{2} + x^{2}

= x^{2} y^{2} - x^{3} y^{2} + x^{2} - (x^{3} + x^{2} + 1) y^{2}

Expand

- y^{2} (x^{3} + x^{2} + 1) : - x^{3} y^{2} - x^{2} y^{2} - y^{2}

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

Simplify

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

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

(- 2 x^{4})^{2}

- x - 10

- 2 x^{9} + x^{7} - 2 x^{5} + 4 x^{3}

14 x^{2} - 60 x y + 16 y^{2}

(- 5 a) (x - 2 y)

What is x^2(y^2-xy^2+1)-(x^3+x^2+1)*y^2 ?
The solution to x^2(y^2-xy^2+1)-(x^3+x^2+1)*y^2 is -2x^3y^2+x^2-y^2