What is (3x-4)(3x+4)-(x+3)^2 ?

The solution to (3x-4)(3x+4)-(x+3)^2 is 8x^2-6x-25

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simplify (3x-4)(3x+4)-(x+3)^2

simplify

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

8 x^{2} - 6 x - 25

Solution steps

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

Expand

(3 x - 4) (3 x + 4) : 9 x^{2} - 16

= 9 x^{2} - 16 - (x + 3)^{2}

Expand

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

= 9 x^{2} - 16 - x^{2} - 6 x - 9

Group like terms

= 9 x^{2} - x^{2} - 6 x - 16 - 9

Add similar elements:

9 x^{2} - x^{2} = 8 x^{2}

= 8 x^{2} - 6 x - 16 - 9

Subtract the numbers:

- 16 - 9 = - 25

= 8 x^{2} - 6 x - 25

5 (100 + 6)

- 4 x^{- 3} + 8 x^{- 2} - 5 x^{- 1} + 1

3 \cdot 3 \cdot 3 \cdot 3

\frac{1}{2}!

\frac{30}{50}

What is (3x-4)(3x+4)-(x+3)^2 ?
The solution to (3x-4)(3x+4)-(x+3)^2 is 8x^2-6x-25