What is factor (x+y)^2-6(x+y)+9 ?

The solution to factor (x+y)^2-6(x+y)+9 is (x+y-3)^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor (x+y)^2-6(x+y)+9

factor

(x + y)^{2} - 6 (x + y) + 9

(x + y - 3)^{2}

Solution steps

(x + y)^{2} - 6 (x + y) + 9

Rewrite

(x + y)^{2} - 6 (x + y) + 9

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

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

Apply Perfect Square Formula:

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

a = (x + y), b = 3

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

Refine

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

2 - 121

20 x - 5 b x - 2 b y + 8 y

x^{3} \frac{d y}{d x} + 3 x^{2} y

8 p x - 6 p y - 12 x + 9 y

2 (ln (2))

What is factor (x+y)^2-6(x+y)+9 ?
The solution to factor (x+y)^2-6(x+y)+9 is (x+y-3)^2