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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (a+b)^2+(a-b)^2

simplify

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

2 a^{2} + 2 b^{2}

Solution steps

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

Expand

(a + b)^{2} : a^{2} + 2 ab + b^{2}

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

Expand

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

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

Group like terms

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

Add similar elements:

a^{2} + a^{2} = 2 a^{2}

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

Add similar elements:

2 ab - 2 ab = 0

= 2 a^{2} + b^{2} + b^{2}

Add similar elements:

b^{2} + b^{2} = 2 b^{2}

= 2 a^{2} + 2 b^{2}

- \frac{2}{4}

\frac{11 !}{11 ! ( 11 - 11 ) !}

m + \frac{2}{3} = \frac{1}{4} m - 1

\frac{1}{2} (1 - 0.95)

\frac{30 x ^{8} y ^{4}}{18 x ^{3} y ^{2}}