What is (x-4)(x+4)-(x-3)(x-2)+3x+10 ?

The solution to (x-4)(x+4)-(x-3)(x-2)+3x+10 is 8x-12

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simplify (x-4)(x+4)-(x-3)(x-2)+3x+10

simplify

(x - 4) (x + 4) - (x - 3) (x - 2) + 3 x + 10

8 x - 12

Solution steps

(x - 4) (x + 4) - (x - 3) (x - 2) + 3 x + 10

Expand

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

= x^{2} - 16 - (x - 3) (x - 2) + 3 x + 10

Expand

- (x - 3) (x - 2) : - x^{2} + 5 x - 6

= x^{2} - 16 - x^{2} + 5 x - 6 + 3 x + 10

Group like terms

= x^{2} - x^{2} + 5 x + 3 x - 16 - 6 + 10

Add similar elements:

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

= 5 x + 3 x - 16 - 6 + 10

Add similar elements:

5 x + 3 x = 8 x

= 8 x - 16 - 6 + 10

Add the numbers:

- 16 - 6 + 10 = - 12

= 8 x - 12

- 445 - 1080

x^{4} x

12 x - 9 x + 16 - 0.2 x

(x^{2} - 9)^{2} - 9

What is (x-4)(x+4)-(x-3)(x-2)+3x+10 ?
The solution to (x-4)(x+4)-(x-3)(x-2)+3x+10 is 8x-12