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

The solution to (2a+3)(2a-3)-(2a+3)^2 is -12a-18

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

simplify

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

- 12 a - 18

Solution steps

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

Expand

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

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

Expand

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

= 4 a^{2} - 9 - 4 a^{2} - 12 a - 9

Group like terms

= 4 a^{2} - 4 a^{2} - 12 a - 9 - 9

Add similar elements:

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

= - 12 a - 9 - 9

Subtract the numbers:

- 9 - 9 = - 18

= - 12 a - 18

3 (x + 2 x - 2 x + 3 x)

(2 x^{2} - 6 x - 5) + (- 9 x^{2} + 5 x - 4)

7 x (5 - y) - 3 (9 x + 2) - 4 x y

24 a + 48 b

\frac{14 x + 5}{9} + \frac{4 - 5 x}{9}

What is (2a+3)(2a-3)-(2a+3)^2 ?
The solution to (2a+3)(2a-3)-(2a+3)^2 is -12a-18