en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (3x+2y)^2

Solution

expand

(3 x + 2 y)^{2}

Solution

9 x^{2} + 12 x y + 4 y^{2}

Solution steps

(3 x + 2 y)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

(3 x)^{2} + 2 \cdot 3 x \cdot 2 y + (2 y)^{2} : 9 x^{2} + 12 x y + 4 y^{2}

= 9 x^{2} + 12 x y + 4 y^{2}

Popular Examples

4 \frac{1}{2}

simplify 10/2 simplify

\frac{10}{2}

simplify sqrt(3x)simplify

3 x

expand (x+3)(x-1)expand

(x + 3) (x - 1)

simplify 1/2 \times 2 simplify

\frac{1}{2} \times 2

Frequently Asked Questions (FAQ)

What is expand (3x+2y)^2 ?
The solution to expand (3x+2y)^2 is 9x^2+12xy+4y^2