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

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

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

simplify

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

4 x

Solution steps

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

Expand

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

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

Expand

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

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

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

- 4 (- 7)

6 \frac{2}{5} - 3 \frac{1}{4}

\frac{14 x + 21 y}{50 x + 75 y}

1 - 128 a^{7}

\frac{5}{7} + \frac{7}{8}