What is (x+4)(x-4)-(x+8)(x-2) ?

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

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simplify (x+4)(x-4)-(x+8)(x-2)

simplify

(x + 4) (x - 4) - (x + 8) (x - 2)

- 6 x

Solution steps

(x + 4) (x - 4) - (x + 8) (x - 2)

Expand

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

= x^{2} - 16 - (x + 8) (x - 2)

Expand

- (x + 8) (x - 2) : - x^{2} - 6 x + 16

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

Group like terms

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

Add similar elements:

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

= - 6 x - 16 + 16

Add the numbers:

- 16 + 16 = 0

= - 6 x

\frac{7}{12} \div 2

\frac{1}{\frac{1}{x + 1}}

(a^{n} + b^{n}) (a^{n} - b^{n})

3 - (12 + 8 i) + 6 i

\frac{5 x}{3 x}