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

\frac{5 n ^{4} + 30 n ^{3}}{n ^{2}}

49 x^{4} - 28 x^{2} + 4

+ (x + 6) (x - 6) - (x + 3) (x - 3)

2 c + 2 c + 9

10 m^{3} + 25 m^{4} y