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

The solution to (x+2)(x-2)-(x+1)(x-1) is -3

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

simplify

(x + 2) (x - 2) - (x + 1) (x - 1)

- 3

Solution steps

(x + 2) (x - 2) - (x + 1) (x - 1)

Expand

(x + 2) (x - 2) : x^{2} - 4

= x^{2} - 4 - (x + 1) (x - 1)

Expand

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

= x^{2} - 4 - x^{2} + 1

Group like terms

= x^{2} - x^{2} - 4 + 1

Add similar elements:

x^{2} - x^{2} = 0

= - 4 + 1

Add the numbers:

- 4 + 1 = - 3

= - 3

4 d^{- 3} \cdot d^{18}

(s + 3) (s + 4)

\frac{64}{3}

(x - 16)^{2}

(x - 9) (x - 3)