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

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

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

simplify

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

2 x^{2}

Solution steps

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

Expand

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

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

Expand

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

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

Group like terms

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

Add similar elements:

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

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

Add similar elements:

2 x - 2 x = 0

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

Add the numbers:

1 + 1 - 2 = 0

= 2 x^{2}

(5 + 2 i) (10 i - 5)

(\frac{c ^{- 4}}{81 d ^{8}})^{\frac{3}{4}}

1020 n^{4}

5 \cdot 36