en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (x+y-1)^2

Solution

expand

(x + y - 1)^{2}

Solution

x^{2} + 2 x y - 2 x + y^{2} - 2 y + 1

Solution steps

(x + y - 1)^{2}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

= (x + y - 1) (x + y - 1)

Distribute parentheses

= xx + x y + x (- 1) + y x + yy + y (- 1) - 1 \cdot x - 1 \cdot y - 1 \cdot (- 1)

Simplify

xx + x y + x (- 1) + y x + yy + y (- 1) - 1 \cdot x - 1 \cdot y - 1 \cdot (- 1) : x^{2} + 2 x y - 2 x + y^{2} - 2 y + 1

= x^{2} + 2 x y - 2 x + y^{2} - 2 y + 1

Popular Examples

3 \frac{4}{5}

simplify sqrt(4x^6)simplify

4 x^{6}

factor x^4-x^3 factor

x^{4} - x^{3}

simplify tan(x)-(sec^2(x))/(tan(x))simplify

tan (x) - \frac{sec ^{2} ( x )}{tan ( x )}

simplify (-3x^2-9x+5)-(-2x^2-4x+7)simplify

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

Frequently Asked Questions (FAQ)

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