en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (3x-5y)^2

Solution

expand

(3 x - 5 y)^{2}

Solution

9 x^{2} - 30 x y + 25 y^{2}

Solution steps

(3 x - 5 y)^{2}

Apply Perfect Square Formula:

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

(3 x - 5 y)^{2} = (3 x)^{2} - 2 \cdot 3 x \cdot 5 y + (5 y)^{2}

= (3 x)^{2} - 2 \cdot 3 x \cdot 5 y + (5 y)^{2}

Simplify

(3 x)^{2} - 2 \cdot 3 x \cdot 5 y + (5 y)^{2} : 9 x^{2} - 30 x y + 25 y^{2}

= 9 x^{2} - 30 x y + 25 y^{2}

Popular Examples

simplify 64/16 simplify

\frac{64}{16}

simplify (cos(x))/(cos(x))simplify

\frac{cos ( x )}{cos ( x )}

simplify 9/18 simplify

\frac{9}{18}

simplify (2x^3)/x simplify

\frac{2 x ^{3}}{x}

factor x^2+2x+1+y(x+1)factor

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

Frequently Asked Questions (FAQ)

What is expand (3x-5y)^2 ?
The solution to expand (3x-5y)^2 is 9x^2-30xy+25y^2