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

The solution to (x+1)^2+(x-2)^2 is 2x^2-2x+5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

2 x^{2} - 2 x + 5

Solution steps

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

Expand

(x + 1)^{2} : x^{2} + 2 x + 1

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

Expand

(x - 2)^{2} : x^{2} - 4 x + 4

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

Group like terms

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

Add similar elements:

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

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

Add similar elements:

2 x - 4 x = - 2 x

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

Add the numbers:

1 + 4 = 5

= 2 x^{2} - 2 x + 5

\frac{3 x}{6}

\frac{130}{8}

\frac{1 - sin ^{2} ( x )}{cot ( x )}

(3 a + 5) + (- 2 a + 8)

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