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

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

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

simplify

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

4 a

Solution steps

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

Expand

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

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

Expand

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

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

Group like terms

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

Add similar elements:

a^{2} - a^{2} = 0

= 2 a + 2 a + 1 - 1

Add similar elements:

2 a + 2 a = 4 a

= 4 a + 1 - 1

Subtract the numbers:

1 - 1 = 0

= 4 a

7 d + v - 4 v

\frac{3}{7} + \frac{3}{4}

4 (9 k + 9 m - 5)

(x + 7) (3 x - 5)

(2 x - 1) (x - 4)