en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (2x-3y)^2

Solution

expand

(2 x - 3 y)^{2}

Solution

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

Solution steps

(2 x - 3 y)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

Popular Examples

simplify 2*(-1)simplify

2 \cdot (- 1)

expand (s+1)^2 expand

(s + 1)^{2}

simplify 4/52 simplify

\frac{4}{52}

simplify 9/12 simplify

\frac{9}{12}

simplify 4/10 simplify

\frac{4}{10}

Frequently Asked Questions (FAQ)

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