What is (2x+3)(2x-3)-2(2x^2-1) ?

The solution to (2x+3)(2x-3)-2(2x^2-1) is -7

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simplify (2x+3)(2x-3)-2(2x^2-1)

simplify

(2 x + 3) (2 x - 3) - 2 (2 x^{2} - 1)

- 7

Solution steps

(2 x + 3) (2 x - 3) - 2 (2 x^{2} - 1)

Expand

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

= 4 x^{2} - 9 - 2 (2 x^{2} - 1)

Expand

- 2 (2 x^{2} - 1) : - 4 x^{2} + 2

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

Group like terms

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

Add similar elements:

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

= - 9 + 2

Add the numbers:

- 9 + 2 = - 7

= - 7

a r g (z^{4})

(- 3 x - 5) (3 x^{2} + x - 1)

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

\frac{9}{2} - 9

400 0^{2}