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

(3 a^{2} - 1) (- 3 a^{2} + 5)

ln (0.4)

- \frac{1}{3} 450

54 \div 6