What is factor (m+n)^2-6(m+n)+9 ?

The solution to factor (m+n)^2-6(m+n)+9 is (m+n-3)^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor (m+n)^2-6(m+n)+9

factor

(m + n)^{2} - 6 (m + n) + 9

(m + n - 3)^{2}

Solution steps

(m + n)^{2} - 6 (m + n) + 9

Rewrite

(m + n)^{2} - 6 (m + n) + 9

(m + n)^{2} - 2 (m + n) \cdot 3 + 3^{2}

= (m + n)^{2} - 2 (m + n) \cdot 3 + 3^{2}

Apply Perfect Square Formula:

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

a = (m + n), b = 3

= ((m + n) - 3)^{2}

Refine

= (m + n - 3)^{2}

A B + A B^{^{'}}

(x + 5)^{2} - 11 (x - 5)

x^{2} + 2 x + 1 - y^{2} + 4 y - 4

(x - 11)^{2} + 5 (x - 11) - 24

a p^{2} + x a - b p^{2} - x b

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