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

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

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

simplify

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

2 x^{2} + 2

Solution steps

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

Expand

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

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

Expand

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

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

Group like terms

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

Add similar elements:

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

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

Add similar elements:

2 x - 2 x = 0

= 2 x^{2} + 1 + 1

Add the numbers:

1 + 1 = 2

= 2 x^{2} + 2

(81)^{2} + 3^{2}

(\frac{2}{5} x - \frac{1}{3}) (\frac{2}{5} x + \frac{1}{3})

\frac{81}{9}

\frac{ab c ^{2} + b ^{2} c ^{3} + a ^{2} b ^{7} c ^{5}}{ab c}

6 0^{3}