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

The solution to (x-1)^2-(x+1)^2 is -4x

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

simplify

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

- 4 x

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} = 0

= - 2 x - 2 x + 1 - 1

Add similar elements:

- 2 x - 2 x = - 4 x

= - 4 x + 1 - 1

Subtract the numbers:

1 - 1 = 0

= - 4 x

(12 - 10 i) - (- 7 + 3 i)

(7 x + 4)^{2}

- 12 - 7

- 3 (8)