What is (x+8)^2-2(x+8)-1 ?

The solution to (x+8)^2-2(x+8)-1 is x^2+14x+47

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simplify (x+8)^2-2(x+8)-1

simplify

(x + 8)^{2} - 2 (x + 8) - 1

x^{2} + 14 x + 47

Solution steps

(x + 8)^{2} - 2 (x + 8) - 1

Expand

(x + 8)^{2} : x^{2} + 16 x + 64

= x^{2} + 16 x + 64 - 2 (x + 8) - 1

Expand

- 2 (x + 8) : - 2 x - 16

= x^{2} + 16 x + 64 - 2 x - 16 - 1

Group like terms

= x^{2} + 16 x - 2 x + 64 - 16 - 1

Add similar elements:

16 x - 2 x = 14 x

= x^{2} + 14 x + 64 - 16 - 1

Subtract the numbers:

64 - 16 - 1 = 47

= x^{2} + 14 x + 47

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