en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify x(x-y)+y(y-x)

Solution

simplify

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

Solution

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

Solution steps

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

Expand

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

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

Expand

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

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

Group like terms

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

Add similar elements:

- x y - x y = - 2 x y

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

Popular Examples

simplify sqrt(14+6\sqrt{5)}simplify

14 + 65

factor y^2+5y+4 factor

y^{2} + 5 y + 4

\frac{60}{18}

expand (p+5)(p+3)expand

(p + 5) (p + 3)

1 \frac{1}{2} \div \frac{3}{4}

Frequently Asked Questions (FAQ)

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