What is (x+7)^2-2(x+7)-1 ?

The solution to (x+7)^2-2(x+7)-1 is x^2+12x+34

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simplify (x+7)^2-2(x+7)-1

simplify

(x + 7)^{2} - 2 (x + 7) - 1

x^{2} + 12 x + 34

Solution steps

(x + 7)^{2} - 2 (x + 7) - 1

Expand

(x + 7)^{2} : x^{2} + 14 x + 49

= x^{2} + 14 x + 49 - 2 (x + 7) - 1

Expand

- 2 (x + 7) : - 2 x - 14

= x^{2} + 14 x + 49 - 2 x - 14 - 1

Group like terms

= x^{2} + 14 x - 2 x + 49 - 14 - 1

Add similar elements:

14 x - 2 x = 12 x

= x^{2} + 12 x + 49 - 14 - 1

Subtract the numbers:

49 - 14 - 1 = 34

= x^{2} + 12 x + 34

(a + b + c)^{0}

(4 + 3 i)^{- 1}

7 x^{3} + 3 x + 7 x - 3 x^{3} - x^{3}

- (- 1) + 2

(a - 2) (b - 1)