What is (x+6)^2-(x-6)^2 ?

The solution to (x+6)^2-(x-6)^2 is 24x

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simplify (x+6)^2-(x-6)^2

simplify

(x + 6)^{2} - (x - 6)^{2}

24 x

Solution steps

(x + 6)^{2} - (x - 6)^{2}

Expand

(x + 6)^{2} : x^{2} + 12 x + 36

= x^{2} + 12 x + 36 - (x - 6)^{2}

Expand

- (x - 6)^{2} : - x^{2} + 12 x - 36

= x^{2} + 12 x + 36 - x^{2} + 12 x - 36

Group like terms

= x^{2} - x^{2} + 12 x + 12 x + 36 - 36

Add similar elements:

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

= 12 x + 12 x + 36 - 36

Add similar elements:

12 x + 12 x = 24 x

= 24 x + 36 - 36

Subtract the numbers:

36 - 36 = 0

= 24 x

(m + n) x - (m + n) y

\frac{1}{2} x^{2} + 4 - \frac{3}{2} x^{2} + 5 + x^{2} + 2

\frac{9 2}{- 2}

5 x^{4} - 15 x^{2} - 20

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