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

The solution to (2x+3)^2-(2x-3)^2 is 24x

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

simplify

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

24 x

Solution steps

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

Expand

(2 x + 3)^{2} : 4 x^{2} + 12 x + 9

= 4 x^{2} + 12 x + 9 - (2 x - 3)^{2}

Expand

- (2 x - 3)^{2} : - 4 x^{2} + 12 x - 9

= 4 x^{2} + 12 x + 9 - 4 x^{2} + 12 x - 9

Group like terms

= 4 x^{2} - 4 x^{2} + 12 x + 12 x + 9 - 9

Add similar elements:

4 x^{2} - 4 x^{2} = 0

= 12 x + 12 x + 9 - 9

Add similar elements:

12 x + 12 x = 24 x

= 24 x + 9 - 9

Subtract the numbers:

9 - 9 = 0

= 24 x

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

\frac{( 8 m ^{7} - 10 m ^{5} )}{2 m ^{3}}

\frac{x ^{2} + 7 x}{2 x ^{2}}

\frac{9}{4} + \frac{3}{2}

2 m - [n - (m - 2 n)]