en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (2x-y+3)^2

Solution

expand

(2 x - y + 3)^{2}

Solution

4 x^{2} - 4 x y + 12 x + y^{2} - 6 y + 9

Solution steps

(2 x - y + 3)^{2}

Apply exponent rule:

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

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

= (2 x - y + 3) (2 x - y + 3)

Distribute parentheses

= 2 x \cdot 2 x + 2 x (- y) + 2 x \cdot 3 - y \cdot 2 x - y (- y) - y \cdot 3 + 3 \cdot 2 x + 3 (- y) + 3 \cdot 3

Simplify

2 x \cdot 2 x + 2 x (- y) + 2 x \cdot 3 - y \cdot 2 x - y (- y) - y \cdot 3 + 3 \cdot 2 x + 3 (- y) + 3 \cdot 3 : 4 x^{2} - 4 x y + 12 x + y^{2} - 6 y + 9

= 4 x^{2} - 4 x y + 12 x + y^{2} - 6 y + 9

Popular Examples

simplify (x^2)/(x^{-5)}simplify

\frac{x ^{2}}{x ^{- 5}}

simplify (-24)/((-8))simplify

\frac{- 24}{( - 8 )}

simplify (-24)/((-4))simplify

\frac{- 24}{( - 4 )}

factor m^3y+m^3t factor

m^{3} y + m^{3} t

simplify 2/(2-sqrt(2))simplify

\frac{2}{2 - 2}

Frequently Asked Questions (FAQ)

What is expand (2x-y+3)^2 ?
The solution to expand (2x-y+3)^2 is 4x^2-4xy+12x+y^2-6y+9