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 2x

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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

2 x

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} - x + 6

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

Group like terms

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

Add similar elements:

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

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

Add similar elements:

- x + 3 x = 2 x

= 2 x - 16 + 6 + 10

Add the numbers:

- 16 + 6 + 10 = 0

= 2 x

\frac{( x - 1 )}{x}

2 (x + 3) (x + 4)

\frac{23}{13}

∣ - 1 + 3 ∣

4 \frac{3}{7}

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 2x