What is factor (a+b)^2-2(a+b)+1 ?

The solution to factor (a+b)^2-2(a+b)+1 is (a+b-1)^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor (a+b)^2-2(a+b)+1

factor

(a + b)^{2} - 2 (a + b) + 1

(a + b - 1)^{2}

Solution steps

(a + b)^{2} - 2 (a + b) + 1

Rewrite

(a + b)^{2} - 2 (a + b) + 1

(a + b)^{2} - 2 (a + b) \cdot 1 + 1^{2}

= (a + b)^{2} - 2 (a + b) \cdot 1 + 1^{2}

Apply Perfect Square Formula:

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

a = (a + b), b = 1

= ((a + b) - 1)^{2}

Refine

= (a + b - 1)^{2}

72 \cdot 3

- 16 t^{2} + 16 t + 96

5 x^{2} = 3 x

n^{2} - 8 n

- 400

What is factor (a+b)^2-2(a+b)+1 ?
The solution to factor (a+b)^2-2(a+b)+1 is (a+b-1)^2