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

The solution to (x-3)^2-(x+3)^2 is -12x

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

simplify

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

- 12 x

Solution steps

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

Expand

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

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

Expand

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

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

Group like terms

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

Add similar elements:

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

= - 6 x - 6 x + 9 - 9

Add similar elements:

- 6 x - 6 x = - 12 x

= - 12 x + 9 - 9

Subtract the numbers:

9 - 9 = 0

= - 12 x

6 + 25

5 m^{5} - 7 m^{3} + 3 m^{2} - 5 m^{5}

- \frac{1}{6} \cdot 3

n^{- 2}

9 + 11