en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (5-x-y)^2

Solution

expand

(5 - x - y)^{2}

Solution

x^{2} - 10 x - 10 y + 2 x y + y^{2} + 25

Solution steps

(5 - x - y)^{2}

Apply exponent rule:

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

(5 - x - y)^{2} = (5 - x - y) (5 - x - y)

= (5 - x - y) (5 - x - y)

Distribute parentheses

= 5 \cdot 5 + 5 (- x) + 5 (- y) - x \cdot 5 - x (- x) - x (- y) - y \cdot 5 - y (- x) - y (- y)

Simplify

5 \cdot 5 + 5 (- x) + 5 (- y) - x \cdot 5 - x (- x) - x (- y) - y \cdot 5 - y (- x) - y (- y) : x^{2} - 10 x - 10 y + 2 x y + y^{2} + 25

= x^{2} - 10 x - 10 y + 2 x y + y^{2} + 25

Popular Examples

simplify 0.28^2 simplify

0.2 8^{2}

simplify-6.43-22.3 simplify

- 6.43 - 22.3

factor 121x^2-25 factor

121 x^{2} - 25

simplify 6x\times 2x simplify

6 x \times 2 x

expand (3x-6)(x+10)expand

(3 x - 6) (x + 10)

Frequently Asked Questions (FAQ)

What is expand (5-x-y)^2 ?
The solution to expand (5-x-y)^2 is x^2-10x-10y+2xy+y^2+25