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

The solution to (x+3)^2+(x-3)^2 is 2x^2+18

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

2 x^{2} + 18

Solution steps

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

Expand

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

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

Expand

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

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

Group like terms

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

Add similar elements:

x^{2} + x^{2} = 2 x^{2}

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

Add similar elements:

6 x - 6 x = 0

= 2 x^{2} + 9 + 9

Add the numbers:

9 + 9 = 18

= 2 x^{2} + 18

3 (12 - \frac{1}{3} (12 + x))

10 lo g_{10} (1000)

\frac{sin ( t )}{cos ( t )}

\frac{4}{5} + \frac{11}{4}