What is (x+2)^2-(x+3)^2 ?

The solution to (x+2)^2-(x+3)^2 is -2x-5

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simplify (x+2)^2-(x+3)^2

simplify

(x + 2)^{2} - (x + 3)^{2}

- 2 x - 5

Solution steps

(x + 2)^{2} - (x + 3)^{2}

Expand

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

= x^{2} + 4 x + 4 - (x + 3)^{2}

Expand

- (x + 3)^{2} : - x^{2} - 6 x - 9

= x^{2} + 4 x + 4 - x^{2} - 6 x - 9

Group like terms

= x^{2} - x^{2} + 4 x - 6 x + 4 - 9

Add similar elements:

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

= 4 x - 6 x + 4 - 9

Add similar elements:

4 x - 6 x = - 2 x

= - 2 x + 4 - 9

Subtract the numbers:

4 - 9 = - 5

= - 2 x - 5

x (5 y)^{9}

3456

\frac{- 2}{( - 4 )}

7 (3 x - 7) + \frac{1}{2} (6 x + 10)

\frac{3}{5} \cdot (- 3)