What is (x-3)^2+6(x-1)-x^2 ?

The solution to (x-3)^2+6(x-1)-x^2 is 3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x-3)^2+6(x-1)-x^2

simplify

(x - 3)^{2} + 6 (x - 1) - x^{2}

3

Solution steps

(x - 3)^{2} + 6 (x - 1) - x^{2}

Expand

(x - 3)^{2} : x^{2} - 6 x + 9

= x^{2} - 6 x + 9 + 6 (x - 1) - x^{2}

Expand

6 (x - 1) : 6 x - 6

= x^{2} - 6 x + 9 + 6 x - 6 - x^{2}

Group like terms

= x^{2} - x^{2} - 6 x + 6 x + 9 - 6

Add similar elements:

x^{2} - x^{2} = 0

= - 6 x + 6 x + 9 - 6

Add similar elements:

- 6 x + 6 x = 0

= 9 - 6

Subtract the numbers:

9 - 6 = 3

= 3

(2 a^{3})^{4}

\frac{5 x + 8}{6} + \frac{- 8 x - 3}{6}

100 - h^{2}

- \frac{1}{2} \div 4