en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (x+2y)^2

Solution

expand

(x + 2 y)^{2}

Solution

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

Solution steps

(x + 2 y)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(x + 2 y)^{2} = x^{2} + 2 x \cdot 2 y + (2 y)^{2}

= x^{2} + 2 x \cdot 2 y + (2 y)^{2}

Simplify

x^{2} + 2 x \cdot 2 y + (2 y)^{2} : x^{2} + 4 x y + 4 y^{2}

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

Popular Examples

expand (a+1)^2 expand

(a + 1)^{2}

simplify (x^2-4)/(3x+6)simplify

\frac{x ^{2} - 4}{3 x + 6}

simplify (-4x^2y^5z^3)/(2xy^9z^3)simplify

\frac{- 4 x ^{2} y ^{5} z ^{3}}{2 x y ^{9} z ^{3}}

simplify-(sqrt(2))/2 simplify

- \frac{2}{2}

simplify-1^{-1}simplify

- 1^{- 1}

Frequently Asked Questions (FAQ)

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